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Finding the Third Proportional to 272,234,100 and 418,443,320

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Solution

The third proportional to 272,234,100 and 418,443,320 is: 643,177,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,234,100 : 418,443,320 = 418,443,320 : x
  2. Step 2: Convert to fraction form
    272,234,100/418,443,320 = 418,443,320/x
  3. Step 3: Cross multiply
    272,234,100x = 418,443,320 × 418,443,320
  4. Step 4: Simplify right side
    272,234,100x = 175,094,812,052,622,400
  5. Step 5: Solve for x
    x = 175,094,812,052,622,400/272,234,100
  6. Step 6: Final answer
    x = 643,177,368.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.