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Finding the Third Proportional to 61,406.86 and 128,064.80

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Solution

The third proportional to 61,406.86 and 128,064.80 is: 267,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,406.86 : 128,064.80 = 128,064.80 : x
  2. Step 2: Convert to fraction form
    61,406.86/128,064.80 = 128,064.80/x
  3. Step 3: Cross multiply
    61,406.86x = 128,064.80 × 128,064.80
  4. Step 4: Simplify right side
    61,406.86x = 16,400,592,198.64
  5. Step 5: Solve for x
    x = 16,400,592,198.64/61,406.86
  6. Step 6: Final answer
    x = 267,080.78

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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.