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Finding the Third Proportional to 65,712,670 and 140,220,785

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Solution

The third proportional to 65,712,670 and 140,220,785 is: 299,209,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712,670 : 140,220,785 = 140,220,785 : x
  2. Step 2: Convert to fraction form
    65,712,670/140,220,785 = 140,220,785/x
  3. Step 3: Cross multiply
    65,712,670x = 140,220,785 × 140,220,785
  4. Step 4: Simplify right side
    65,712,670x = 19,661,868,546,016,224
  5. Step 5: Solve for x
    x = 19,661,868,546,016,224/65,712,670
  6. Step 6: Final answer
    x = 299,209,704.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.