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Finding the Third Proportional to 8,386,867.13 and 18,343,996.88

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Solution

The third proportional to 8,386,867.13 and 18,343,996.88 is: 40,122,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386,867.13 : 18,343,996.88 = 18,343,996.88 : x
  2. Step 2: Convert to fraction form
    8,386,867.13/18,343,996.88 = 18,343,996.88/x
  3. Step 3: Cross multiply
    8,386,867.13x = 18,343,996.88 × 18,343,996.88
  4. Step 4: Simplify right side
    8,386,867.13x = 336,502,221,350,009.75
  5. Step 5: Solve for x
    x = 336,502,221,350,009.75/8,386,867.13
  6. Step 6: Final answer
    x = 40,122,517.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.