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Finding the Third Proportional to 331,768 and 715,376

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Solution

The third proportional to 331,768 and 715,376 is: 1,542,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,768 : 715,376 = 715,376 : x
  2. Step 2: Convert to fraction form
    331,768/715,376 = 715,376/x
  3. Step 3: Cross multiply
    331,768x = 715,376 × 715,376
  4. Step 4: Simplify right side
    331,768x = 511,762,821,376
  5. Step 5: Solve for x
    x = 511,762,821,376/331,768
  6. Step 6: Final answer
    x = 1,542,532.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.