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Finding the Third Proportional to 128,549 and 263,362

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Solution

The third proportional to 128,549 and 263,362 is: 539,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,549 : 263,362 = 263,362 : x
  2. Step 2: Convert to fraction form
    128,549/263,362 = 263,362/x
  3. Step 3: Cross multiply
    128,549x = 263,362 × 263,362
  4. Step 4: Simplify right side
    128,549x = 69,359,543,044
  5. Step 5: Solve for x
    x = 69,359,543,044/128,549
  6. Step 6: Final answer
    x = 539,557.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.