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Finding the Third Proportional to 28,503.50 and 65,979

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Solution

The third proportional to 28,503.50 and 65,979 is: 152,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,503.50 : 65,979 = 65,979 : x
  2. Step 2: Convert to fraction form
    28,503.50/65,979 = 65,979/x
  3. Step 3: Cross multiply
    28,503.50x = 65,979 × 65,979
  4. Step 4: Simplify right side
    28,503.50x = 4,353,228,441
  5. Step 5: Solve for x
    x = 4,353,228,441/28,503.50
  6. Step 6: Final answer
    x = 152,726.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.