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Finding the Third Proportional to 28,431 and 61,383

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Solution

The third proportional to 28,431 and 61,383 is: 132,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431 : 61,383 = 61,383 : x
  2. Step 2: Convert to fraction form
    28,431/61,383 = 61,383/x
  3. Step 3: Cross multiply
    28,431x = 61,383 × 61,383
  4. Step 4: Simplify right side
    28,431x = 3,767,872,689
  5. Step 5: Solve for x
    x = 3,767,872,689/28,431
  6. Step 6: Final answer
    x = 132,526.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.