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Finding the Third Proportional to 90,051.75 and 130,427.50

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Solution

The third proportional to 90,051.75 and 130,427.50 is: 188,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,051.75 : 130,427.50 = 130,427.50 : x
  2. Step 2: Convert to fraction form
    90,051.75/130,427.50 = 130,427.50/x
  3. Step 3: Cross multiply
    90,051.75x = 130,427.50 × 130,427.50
  4. Step 4: Simplify right side
    90,051.75x = 17,011,332,756.25
  5. Step 5: Solve for x
    x = 17,011,332,756.25/90,051.75
  6. Step 6: Final answer
    x = 188,906.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.