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Finding the Third Proportional to 84,490 and 126,482

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Solution

The third proportional to 84,490 and 126,482 is: 189,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,490 : 126,482 = 126,482 : x
  2. Step 2: Convert to fraction form
    84,490/126,482 = 126,482/x
  3. Step 3: Cross multiply
    84,490x = 126,482 × 126,482
  4. Step 4: Simplify right side
    84,490x = 15,997,696,324
  5. Step 5: Solve for x
    x = 15,997,696,324/84,490
  6. Step 6: Final answer
    x = 189,344.26

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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.