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Finding the Third Proportional to 275,310 and 403,867

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Solution

The third proportional to 275,310 and 403,867 is: 592,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,310 : 403,867 = 403,867 : x
  2. Step 2: Convert to fraction form
    275,310/403,867 = 403,867/x
  3. Step 3: Cross multiply
    275,310x = 403,867 × 403,867
  4. Step 4: Simplify right side
    275,310x = 163,108,553,689
  5. Step 5: Solve for x
    x = 163,108,553,689/275,310
  6. Step 6: Final answer
    x = 592,454.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.