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Finding the Third Proportional to 345,000 and 515,376

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Solution

The third proportional to 345,000 and 515,376 is: 769,891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,000 : 515,376 = 515,376 : x
  2. Step 2: Convert to fraction form
    345,000/515,376 = 515,376/x
  3. Step 3: Cross multiply
    345,000x = 515,376 × 515,376
  4. Step 4: Simplify right side
    345,000x = 265,612,421,376
  5. Step 5: Solve for x
    x = 265,612,421,376/345,000
  6. Step 6: Final answer
    x = 769,891.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.