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Finding the Third Proportional to 156,739 and 282,374

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Solution

The third proportional to 156,739 and 282,374 is: 508,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,739 : 282,374 = 282,374 : x
  2. Step 2: Convert to fraction form
    156,739/282,374 = 282,374/x
  3. Step 3: Cross multiply
    156,739x = 282,374 × 282,374
  4. Step 4: Simplify right side
    156,739x = 79,735,075,876
  5. Step 5: Solve for x
    x = 79,735,075,876/156,739
  6. Step 6: Final answer
    x = 508,712.42

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.