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Finding the Third Proportional to 134,757 and 285,940

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Solution

The third proportional to 134,757 and 285,940 is: 606,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,757 : 285,940 = 285,940 : x
  2. Step 2: Convert to fraction form
    134,757/285,940 = 285,940/x
  3. Step 3: Cross multiply
    134,757x = 285,940 × 285,940
  4. Step 4: Simplify right side
    134,757x = 81,761,683,600
  5. Step 5: Solve for x
    x = 81,761,683,600/134,757
  6. Step 6: Final answer
    x = 606,734.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.