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Finding the Third Proportional to 67,681.13 and 99,213.19

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Solution

The third proportional to 67,681.13 and 99,213.19 is: 145,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,681.13 : 99,213.19 = 99,213.19 : x
  2. Step 2: Convert to fraction form
    67,681.13/99,213.19 = 99,213.19/x
  3. Step 3: Cross multiply
    67,681.13x = 99,213.19 × 99,213.19
  4. Step 4: Simplify right side
    67,681.13x = 9,843,256,573.91
  5. Step 5: Solve for x
    x = 9,843,256,573.91/67,681.13
  6. Step 6: Final answer
    x = 145,435.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.