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Finding the Third Proportional to 97,560 and 142,872

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Solution

The third proportional to 97,560 and 142,872 is: 209,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,560 : 142,872 = 142,872 : x
  2. Step 2: Convert to fraction form
    97,560/142,872 = 142,872/x
  3. Step 3: Cross multiply
    97,560x = 142,872 × 142,872
  4. Step 4: Simplify right side
    97,560x = 20,412,408,384
  5. Step 5: Solve for x
    x = 20,412,408,384/97,560
  6. Step 6: Final answer
    x = 209,229.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.