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Finding the Third Proportional to 53,154.50 and 79,972

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Solution

The third proportional to 53,154.50 and 79,972 is: 120,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,154.50 : 79,972 = 79,972 : x
  2. Step 2: Convert to fraction form
    53,154.50/79,972 = 79,972/x
  3. Step 3: Cross multiply
    53,154.50x = 79,972 × 79,972
  4. Step 4: Simplify right side
    53,154.50x = 6,395,520,784
  5. Step 5: Solve for x
    x = 6,395,520,784/53,154.50
  6. Step 6: Final answer
    x = 120,319.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.