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Finding the Third Proportional to 78,509 and 121,292

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Solution

The third proportional to 78,509 and 121,292 is: 187,389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509 : 121,292 = 121,292 : x
  2. Step 2: Convert to fraction form
    78,509/121,292 = 121,292/x
  3. Step 3: Cross multiply
    78,509x = 121,292 × 121,292
  4. Step 4: Simplify right side
    78,509x = 14,711,749,264
  5. Step 5: Solve for x
    x = 14,711,749,264/78,509
  6. Step 6: Final answer
    x = 187,389.33

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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.