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Finding the Third Proportional to 349,726 and 531,427

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Solution

The third proportional to 349,726 and 531,427 is: 807,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,726 : 531,427 = 531,427 : x
  2. Step 2: Convert to fraction form
    349,726/531,427 = 531,427/x
  3. Step 3: Cross multiply
    349,726x = 531,427 × 531,427
  4. Step 4: Simplify right side
    349,726x = 282,414,656,329
  5. Step 5: Solve for x
    x = 282,414,656,329/349,726
  6. Step 6: Final answer
    x = 807,531.20

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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.