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Finding the Third Proportional to 77,892 and 116,709

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Solution

The third proportional to 77,892 and 116,709 is: 174,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,892 : 116,709 = 116,709 : x
  2. Step 2: Convert to fraction form
    77,892/116,709 = 116,709/x
  3. Step 3: Cross multiply
    77,892x = 116,709 × 116,709
  4. Step 4: Simplify right side
    77,892x = 13,620,990,681
  5. Step 5: Solve for x
    x = 13,620,990,681/77,892
  6. Step 6: Final answer
    x = 174,870.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.