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Finding the Third Proportional to 71,478 and 102,575

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Solution

The third proportional to 71,478 and 102,575 is: 147,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,478 : 102,575 = 102,575 : x
  2. Step 2: Convert to fraction form
    71,478/102,575 = 102,575/x
  3. Step 3: Cross multiply
    71,478x = 102,575 × 102,575
  4. Step 4: Simplify right side
    71,478x = 10,521,630,625
  5. Step 5: Solve for x
    x = 10,521,630,625/71,478
  6. Step 6: Final answer
    x = 147,200.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.