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Finding the Third Proportional to 8,666,686.13 and 20,495,728.69

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Solution

The third proportional to 8,666,686.13 and 20,495,728.69 is: 48,470,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666,686.13 : 20,495,728.69 = 20,495,728.69 : x
  2. Step 2: Convert to fraction form
    8,666,686.13/20,495,728.69 = 20,495,728.69/x
  3. Step 3: Cross multiply
    8,666,686.13x = 20,495,728.69 × 20,495,728.69
  4. Step 4: Simplify right side
    8,666,686.13x = 420,074,894,431,610.50
  5. Step 5: Solve for x
    x = 420,074,894,431,610.50/8,666,686.13
  6. Step 6: Final answer
    x = 48,470,071.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.