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Finding the Third Proportional to 65,393,781 and 140,176,489

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Solution

The third proportional to 65,393,781 and 140,176,489 is: 300,478,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,393,781 : 140,176,489 = 140,176,489 : x
  2. Step 2: Convert to fraction form
    65,393,781/140,176,489 = 140,176,489/x
  3. Step 3: Cross multiply
    65,393,781x = 140,176,489 × 140,176,489
  4. Step 4: Simplify right side
    65,393,781x = 19,649,448,068,367,120
  5. Step 5: Solve for x
    x = 19,649,448,068,367,120/65,393,781
  6. Step 6: Final answer
    x = 300,478,849.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.