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Finding the Third Proportional to 30,531 and 62,574

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Solution

The third proportional to 30,531 and 62,574 is: 128,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531 : 62,574 = 62,574 : x
  2. Step 2: Convert to fraction form
    30,531/62,574 = 62,574/x
  3. Step 3: Cross multiply
    30,531x = 62,574 × 62,574
  4. Step 4: Simplify right side
    30,531x = 3,915,505,476
  5. Step 5: Solve for x
    x = 3,915,505,476/30,531
  6. Step 6: Final answer
    x = 128,246.88

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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.