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Finding the Third Proportional to 270,548 and 424,398

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Solution

The third proportional to 270,548 and 424,398 is: 665,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,548 : 424,398 = 424,398 : x
  2. Step 2: Convert to fraction form
    270,548/424,398 = 424,398/x
  3. Step 3: Cross multiply
    270,548x = 424,398 × 424,398
  4. Step 4: Simplify right side
    270,548x = 180,113,662,404
  5. Step 5: Solve for x
    x = 180,113,662,404/270,548
  6. Step 6: Final answer
    x = 665,736.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.