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Finding the Third Proportional to 127,945,970 and 278,609,380

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Solution

The third proportional to 127,945,970 and 278,609,380 is: 606,687,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,945,970 : 278,609,380 = 278,609,380 : x
  2. Step 2: Convert to fraction form
    127,945,970/278,609,380 = 278,609,380/x
  3. Step 3: Cross multiply
    127,945,970x = 278,609,380 × 278,609,380
  4. Step 4: Simplify right side
    127,945,970x = 77,623,186,623,984,400
  5. Step 5: Solve for x
    x = 77,623,186,623,984,400/127,945,970
  6. Step 6: Final answer
    x = 606,687,233.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.