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Finding the Third Proportional to 282,569 and 423,860

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Solution

The third proportional to 282,569 and 423,860 is: 635,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,569 : 423,860 = 423,860 : x
  2. Step 2: Convert to fraction form
    282,569/423,860 = 423,860/x
  3. Step 3: Cross multiply
    282,569x = 423,860 × 423,860
  4. Step 4: Simplify right side
    282,569x = 179,657,299,600
  5. Step 5: Solve for x
    x = 179,657,299,600/282,569
  6. Step 6: Final answer
    x = 635,799.75

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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.