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Finding the Third Proportional to 78,506 and 121,287

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Solution

The third proportional to 78,506 and 121,287 is: 187,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,506 : 121,287 = 121,287 : x
  2. Step 2: Convert to fraction form
    78,506/121,287 = 121,287/x
  3. Step 3: Cross multiply
    78,506x = 121,287 × 121,287
  4. Step 4: Simplify right side
    78,506x = 14,710,536,369
  5. Step 5: Solve for x
    x = 14,710,536,369/78,506
  6. Step 6: Final answer
    x = 187,381.05

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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.