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Finding the Third Proportional to 59,121 and 91,791

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Solution

The third proportional to 59,121 and 91,791 is: 142,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,121 : 91,791 = 91,791 : x
  2. Step 2: Convert to fraction form
    59,121/91,791 = 91,791/x
  3. Step 3: Cross multiply
    59,121x = 91,791 × 91,791
  4. Step 4: Simplify right side
    59,121x = 8,425,587,681
  5. Step 5: Solve for x
    x = 8,425,587,681/59,121
  6. Step 6: Final answer
    x = 142,514.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.