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Finding the Third Proportional to 292,646 and 397,479

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Solution

The third proportional to 292,646 and 397,479 is: 539,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,646 : 397,479 = 397,479 : x
  2. Step 2: Convert to fraction form
    292,646/397,479 = 397,479/x
  3. Step 3: Cross multiply
    292,646x = 397,479 × 397,479
  4. Step 4: Simplify right side
    292,646x = 157,989,555,441
  5. Step 5: Solve for x
    x = 157,989,555,441/292,646
  6. Step 6: Final answer
    x = 539,865.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.