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Finding the Third Proportional to 91,011.75 and 142,459.13

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Solution

The third proportional to 91,011.75 and 142,459.13 is: 222,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,011.75 : 142,459.13 = 142,459.13 : x
  2. Step 2: Convert to fraction form
    91,011.75/142,459.13 = 142,459.13/x
  3. Step 3: Cross multiply
    91,011.75x = 142,459.13 × 142,459.13
  4. Step 4: Simplify right side
    91,011.75x = 20,294,602,295.77
  5. Step 5: Solve for x
    x = 20,294,602,295.77/91,011.75
  6. Step 6: Final answer
    x = 222,988.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.