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Finding the Third Proportional to 345,942 and 757,464

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Solution

The third proportional to 345,942 and 757,464 is: 1,658,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,942 : 757,464 = 757,464 : x
  2. Step 2: Convert to fraction form
    345,942/757,464 = 757,464/x
  3. Step 3: Cross multiply
    345,942x = 757,464 × 757,464
  4. Step 4: Simplify right side
    345,942x = 573,751,711,296
  5. Step 5: Solve for x
    x = 573,751,711,296/345,942
  6. Step 6: Final answer
    x = 1,658,519.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.