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Finding the Third Proportional to 272,234,086 and 418,443,295

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Solution

The third proportional to 272,234,086 and 418,443,295 is: 643,177,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,234,086 : 418,443,295 = 418,443,295 : x
  2. Step 2: Convert to fraction form
    272,234,086/418,443,295 = 418,443,295/x
  3. Step 3: Cross multiply
    272,234,086x = 418,443,295 × 418,443,295
  4. Step 4: Simplify right side
    272,234,086x = 175,094,791,130,457,024
  5. Step 5: Solve for x
    x = 175,094,791,130,457,024/272,234,086
  6. Step 6: Final answer
    x = 643,177,324.72

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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.