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Finding the Third Proportional to 86,231,722 and 129,315,910

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Solution

The third proportional to 86,231,722 and 129,315,910 is: 193,926,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,231,722 : 129,315,910 = 129,315,910 : x
  2. Step 2: Convert to fraction form
    86,231,722/129,315,910 = 129,315,910/x
  3. Step 3: Cross multiply
    86,231,722x = 129,315,910 × 129,315,910
  4. Step 4: Simplify right side
    86,231,722x = 16,722,604,579,128,100
  5. Step 5: Solve for x
    x = 16,722,604,579,128,100/86,231,722
  6. Step 6: Final answer
    x = 193,926,367.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.