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Finding the Third Proportional to 491,286 and 745,792

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Solution

The third proportional to 491,286 and 745,792 is: 1,132,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,286 : 745,792 = 745,792 : x
  2. Step 2: Convert to fraction form
    491,286/745,792 = 745,792/x
  3. Step 3: Cross multiply
    491,286x = 745,792 × 745,792
  4. Step 4: Simplify right side
    491,286x = 556,205,707,264
  5. Step 5: Solve for x
    x = 556,205,707,264/491,286
  6. Step 6: Final answer
    x = 1,132,142.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.