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Finding the Third Proportional to 274,128 and 423,643

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Solution

The third proportional to 274,128 and 423,643 is: 654,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,128 : 423,643 = 423,643 : x
  2. Step 2: Convert to fraction form
    274,128/423,643 = 423,643/x
  3. Step 3: Cross multiply
    274,128x = 423,643 × 423,643
  4. Step 4: Simplify right side
    274,128x = 179,473,391,449
  5. Step 5: Solve for x
    x = 179,473,391,449/274,128
  6. Step 6: Final answer
    x = 654,706.53

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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.