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Finding the Third Proportional to 328,738.50 and 707,418

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Solution

The third proportional to 328,738.50 and 707,418 is: 1,522,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,738.50 : 707,418 = 707,418 : x
  2. Step 2: Convert to fraction form
    328,738.50/707,418 = 707,418/x
  3. Step 3: Cross multiply
    328,738.50x = 707,418 × 707,418
  4. Step 4: Simplify right side
    328,738.50x = 500,440,226,724
  5. Step 5: Solve for x
    x = 500,440,226,724/328,738.50
  6. Step 6: Final answer
    x = 1,522,304.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.