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Finding the Third Proportional to 155,416 and 338,508

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Solution

The third proportional to 155,416 and 338,508 is: 737,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,416 : 338,508 = 338,508 : x
  2. Step 2: Convert to fraction form
    155,416/338,508 = 338,508/x
  3. Step 3: Cross multiply
    155,416x = 338,508 × 338,508
  4. Step 4: Simplify right side
    155,416x = 114,587,666,064
  5. Step 5: Solve for x
    x = 114,587,666,064/155,416
  6. Step 6: Final answer
    x = 737,296.46

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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.