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Finding the Third Proportional to 155,547 and 329,919

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Solution

The third proportional to 155,547 and 329,919 is: 699,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,547 : 329,919 = 329,919 : x
  2. Step 2: Convert to fraction form
    155,547/329,919 = 329,919/x
  3. Step 3: Cross multiply
    155,547x = 329,919 × 329,919
  4. Step 4: Simplify right side
    155,547x = 108,846,546,561
  5. Step 5: Solve for x
    x = 108,846,546,561/155,547
  6. Step 6: Final answer
    x = 699,766.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.