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Finding the Third Proportional to 155,376 and 338,430

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Solution

The third proportional to 155,376 and 338,430 is: 737,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,376 : 338,430 = 338,430 : x
  2. Step 2: Convert to fraction form
    155,376/338,430 = 338,430/x
  3. Step 3: Cross multiply
    155,376x = 338,430 × 338,430
  4. Step 4: Simplify right side
    155,376x = 114,534,864,900
  5. Step 5: Solve for x
    x = 114,534,864,900/155,376
  6. Step 6: Final answer
    x = 737,146.44

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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.