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Finding the Third Proportional to 447,864,164,960 and 987,017,309,376

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Solution

The third proportional to 447,864,164,960 and 987,017,309,376 is: 2,175,220,178,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,864,164,960 : 987,017,309,376 = 987,017,309,376 : x
  2. Step 2: Convert to fraction form
    447,864,164,960/987,017,309,376 = 987,017,309,376/x
  3. Step 3: Cross multiply
    447,864,164,960x = 987,017,309,376 × 987,017,309,376
  4. Step 4: Simplify right side
    447,864,164,960x = 974,203,169,007,838,448,058,368
  5. Step 5: Solve for x
    x = 974,203,169,007,838,448,058,368/447,864,164,960
  6. Step 6: Final answer
    x = 2,175,220,178,856.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.