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Finding the Third Proportional to 155,748 and 338,838

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Solution

The third proportional to 155,748 and 338,838 is: 737,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,748 : 338,838 = 338,838 : x
  2. Step 2: Convert to fraction form
    155,748/338,838 = 338,838/x
  3. Step 3: Cross multiply
    155,748x = 338,838 × 338,838
  4. Step 4: Simplify right side
    155,748x = 114,811,190,244
  5. Step 5: Solve for x
    x = 114,811,190,244/155,748
  6. Step 6: Final answer
    x = 737,159.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.