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Finding the Third Proportional to 61,277.50 and 128,166.75

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Solution

The third proportional to 61,277.50 and 128,166.75 is: 268,070.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,277.50 : 128,166.75 = 128,166.75 : x
  2. Step 2: Convert to fraction form
    61,277.50/128,166.75 = 128,166.75/x
  3. Step 3: Cross multiply
    61,277.50x = 128,166.75 × 128,166.75
  4. Step 4: Simplify right side
    61,277.50x = 16,426,715,805.56
  5. Step 5: Solve for x
    x = 16,426,715,805.56/61,277.50
  6. Step 6: Final answer
    x = 268,070.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.