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Finding the Third Proportional to 145,571 and 231,479

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Solution

The third proportional to 145,571 and 231,479 is: 368,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,571 : 231,479 = 231,479 : x
  2. Step 2: Convert to fraction form
    145,571/231,479 = 231,479/x
  3. Step 3: Cross multiply
    145,571x = 231,479 × 231,479
  4. Step 4: Simplify right side
    145,571x = 53,582,527,441
  5. Step 5: Solve for x
    x = 53,582,527,441/145,571
  6. Step 6: Final answer
    x = 368,085.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.