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Finding the Third Proportional to 243,498,301.50 and 521,473,767

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Solution

The third proportional to 243,498,301.50 and 521,473,767 is: 1,116,783,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,498,301.50 : 521,473,767 = 521,473,767 : x
  2. Step 2: Convert to fraction form
    243,498,301.50/521,473,767 = 521,473,767/x
  3. Step 3: Cross multiply
    243,498,301.50x = 521,473,767 × 521,473,767
  4. Step 4: Simplify right side
    243,498,301.50x = 271,934,889,669,170,304
  5. Step 5: Solve for x
    x = 271,934,889,669,170,304/243,498,301.50
  6. Step 6: Final answer
    x = 1,116,783,517.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.