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Finding the Third Proportional to 78,522 and 121,315

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Solution

The third proportional to 78,522 and 121,315 is: 187,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,522 : 121,315 = 121,315 : x
  2. Step 2: Convert to fraction form
    78,522/121,315 = 121,315/x
  3. Step 3: Cross multiply
    78,522x = 121,315 × 121,315
  4. Step 4: Simplify right side
    78,522x = 14,717,329,225
  5. Step 5: Solve for x
    x = 14,717,329,225/78,522
  6. Step 6: Final answer
    x = 187,429.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.