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Finding the Third Proportional to 42,572 and 86,358

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Solution

The third proportional to 42,572 and 86,358 is: 175,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,572 : 86,358 = 86,358 : x
  2. Step 2: Convert to fraction form
    42,572/86,358 = 86,358/x
  3. Step 3: Cross multiply
    42,572x = 86,358 × 86,358
  4. Step 4: Simplify right side
    42,572x = 7,457,704,164
  5. Step 5: Solve for x
    x = 7,457,704,164/42,572
  6. Step 6: Final answer
    x = 175,178.62

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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.