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Finding the Third Proportional to 272,234,070 and 418,443,273

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Solution

The third proportional to 272,234,070 and 418,443,273 is: 643,177,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,234,070 : 418,443,273 = 418,443,273 : x
  2. Step 2: Convert to fraction form
    272,234,070/418,443,273 = 418,443,273/x
  3. Step 3: Cross multiply
    272,234,070x = 418,443,273 × 418,443,273
  4. Step 4: Simplify right side
    272,234,070x = 175,094,772,718,952,544
  5. Step 5: Solve for x
    x = 175,094,772,718,952,544/272,234,070
  6. Step 6: Final answer
    x = 643,177,294.89

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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.