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Finding the Third Proportional to 77,540 and 119,342

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Solution

The third proportional to 77,540 and 119,342 is: 183,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,540 : 119,342 = 119,342 : x
  2. Step 2: Convert to fraction form
    77,540/119,342 = 119,342/x
  3. Step 3: Cross multiply
    77,540x = 119,342 × 119,342
  4. Step 4: Simplify right side
    77,540x = 14,242,512,964
  5. Step 5: Solve for x
    x = 14,242,512,964/77,540
  6. Step 6: Final answer
    x = 183,679.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.