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Finding the Third Proportional to 61,390.50 and 91,107

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Solution

The third proportional to 61,390.50 and 91,107 is: 135,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,390.50 : 91,107 = 91,107 : x
  2. Step 2: Convert to fraction form
    61,390.50/91,107 = 91,107/x
  3. Step 3: Cross multiply
    61,390.50x = 91,107 × 91,107
  4. Step 4: Simplify right side
    61,390.50x = 8,300,485,449
  5. Step 5: Solve for x
    x = 8,300,485,449/61,390.50
  6. Step 6: Final answer
    x = 135,207.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.