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Finding the Third Proportional to 407,456 and 532,390

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Solution

The third proportional to 407,456 and 532,390 is: 695,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,456 : 532,390 = 532,390 : x
  2. Step 2: Convert to fraction form
    407,456/532,390 = 532,390/x
  3. Step 3: Cross multiply
    407,456x = 532,390 × 532,390
  4. Step 4: Simplify right side
    407,456x = 283,439,112,100
  5. Step 5: Solve for x
    x = 283,439,112,100/407,456
  6. Step 6: Final answer
    x = 695,631.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.