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Finding the Third Proportional to 42,564 and 86,344

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Solution

The third proportional to 42,564 and 86,344 is: 175,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,564 : 86,344 = 86,344 : x
  2. Step 2: Convert to fraction form
    42,564/86,344 = 86,344/x
  3. Step 3: Cross multiply
    42,564x = 86,344 × 86,344
  4. Step 4: Simplify right side
    42,564x = 7,455,286,336
  5. Step 5: Solve for x
    x = 7,455,286,336/42,564
  6. Step 6: Final answer
    x = 175,154.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.