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Finding the Third Proportional to 128,940 and 274,488

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Solution

The third proportional to 128,940 and 274,488 is: 584,331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,940 : 274,488 = 274,488 : x
  2. Step 2: Convert to fraction form
    128,940/274,488 = 274,488/x
  3. Step 3: Cross multiply
    128,940x = 274,488 × 274,488
  4. Step 4: Simplify right side
    128,940x = 75,343,662,144
  5. Step 5: Solve for x
    x = 75,343,662,144/128,940
  6. Step 6: Final answer
    x = 584,331.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.