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Finding the Third Proportional to 70,130.25 and 91,365.75

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Solution

The third proportional to 70,130.25 and 91,365.75 is: 119,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,130.25 : 91,365.75 = 91,365.75 : x
  2. Step 2: Convert to fraction form
    70,130.25/91,365.75 = 91,365.75/x
  3. Step 3: Cross multiply
    70,130.25x = 91,365.75 × 91,365.75
  4. Step 4: Simplify right side
    70,130.25x = 8,347,700,273.06
  5. Step 5: Solve for x
    x = 8,347,700,273.06/70,130.25
  6. Step 6: Final answer
    x = 119,031.38

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.