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Finding the Third Proportional to 342,421 and 532,281

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Solution

The third proportional to 342,421 and 532,281 is: 827,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,421 : 532,281 = 532,281 : x
  2. Step 2: Convert to fraction form
    342,421/532,281 = 532,281/x
  3. Step 3: Cross multiply
    342,421x = 532,281 × 532,281
  4. Step 4: Simplify right side
    342,421x = 283,323,062,961
  5. Step 5: Solve for x
    x = 283,323,062,961/342,421
  6. Step 6: Final answer
    x = 827,411.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.