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Finding the Third Proportional to 108,420 and 166,854

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Solution

The third proportional to 108,420 and 166,854 is: 256,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,420 : 166,854 = 166,854 : x
  2. Step 2: Convert to fraction form
    108,420/166,854 = 166,854/x
  3. Step 3: Cross multiply
    108,420x = 166,854 × 166,854
  4. Step 4: Simplify right side
    108,420x = 27,840,257,316
  5. Step 5: Solve for x
    x = 27,840,257,316/108,420
  6. Step 6: Final answer
    x = 256,781.57

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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.