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Finding the Third Proportional to 118,332 and 254,706

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Solution

The third proportional to 118,332 and 254,706 is: 548,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,332 : 254,706 = 254,706 : x
  2. Step 2: Convert to fraction form
    118,332/254,706 = 254,706/x
  3. Step 3: Cross multiply
    118,332x = 254,706 × 254,706
  4. Step 4: Simplify right side
    118,332x = 64,875,146,436
  5. Step 5: Solve for x
    x = 64,875,146,436/118,332
  6. Step 6: Final answer
    x = 548,246.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.