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Finding the Third Proportional to 145,561 and 231,464

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Solution

The third proportional to 145,561 and 231,464 is: 368,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,561 : 231,464 = 231,464 : x
  2. Step 2: Convert to fraction form
    145,561/231,464 = 231,464/x
  3. Step 3: Cross multiply
    145,561x = 231,464 × 231,464
  4. Step 4: Simplify right side
    145,561x = 53,575,583,296
  5. Step 5: Solve for x
    x = 53,575,583,296/145,561
  6. Step 6: Final answer
    x = 368,062.76

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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.