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Finding the Third Proportional to 272,234,079 and 418,443,286.50

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Solution

The third proportional to 272,234,079 and 418,443,286.50 is: 643,177,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,234,079 : 418,443,286.50 = 418,443,286.50 : x
  2. Step 2: Convert to fraction form
    272,234,079/418,443,286.50 = 418,443,286.50/x
  3. Step 3: Cross multiply
    272,234,079x = 418,443,286.50 × 418,443,286.50
  4. Step 4: Simplify right side
    272,234,079x = 175,094,784,016,921,088
  5. Step 5: Solve for x
    x = 175,094,784,016,921,088/272,234,079
  6. Step 6: Final answer
    x = 643,177,315.13

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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.