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Finding the Third Proportional to 28,830 and 63,125

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Solution

The third proportional to 28,830 and 63,125 is: 138,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,830 : 63,125 = 63,125 : x
  2. Step 2: Convert to fraction form
    28,830/63,125 = 63,125/x
  3. Step 3: Cross multiply
    28,830x = 63,125 × 63,125
  4. Step 4: Simplify right side
    28,830x = 3,984,765,625
  5. Step 5: Solve for x
    x = 3,984,765,625/28,830
  6. Step 6: Final answer
    x = 138,215.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.