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Finding the Third Proportional to 109,349 and 168,681

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Solution

The third proportional to 109,349 and 168,681 is: 260,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,349 : 168,681 = 168,681 : x
  2. Step 2: Convert to fraction form
    109,349/168,681 = 168,681/x
  3. Step 3: Cross multiply
    109,349x = 168,681 × 168,681
  4. Step 4: Simplify right side
    109,349x = 28,453,279,761
  5. Step 5: Solve for x
    x = 28,453,279,761/109,349
  6. Step 6: Final answer
    x = 260,206.13

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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.