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Finding the Third Proportional to 272,234,037 and 418,443,223.50

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Solution

The third proportional to 272,234,037 and 418,443,223.50 is: 643,177,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,234,037 : 418,443,223.50 = 418,443,223.50 : x
  2. Step 2: Convert to fraction form
    272,234,037/418,443,223.50 = 418,443,223.50/x
  3. Step 3: Cross multiply
    272,234,037x = 418,443,223.50 × 418,443,223.50
  4. Step 4: Simplify right side
    272,234,037x = 175,094,731,293,070,944
  5. Step 5: Solve for x
    x = 175,094,731,293,070,944/272,234,037
  6. Step 6: Final answer
    x = 643,177,220.68

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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.