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Finding the Third Proportional to 52,572 and 78,669

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Solution

The third proportional to 52,572 and 78,669 is: 117,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,572 : 78,669 = 78,669 : x
  2. Step 2: Convert to fraction form
    52,572/78,669 = 78,669/x
  3. Step 3: Cross multiply
    52,572x = 78,669 × 78,669
  4. Step 4: Simplify right side
    52,572x = 6,188,811,561
  5. Step 5: Solve for x
    x = 6,188,811,561/52,572
  6. Step 6: Final answer
    x = 117,720.68

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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.