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Finding the Third Proportional to 90,140.25 and 130,559.63

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Solution

The third proportional to 90,140.25 and 130,559.63 is: 189,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,140.25 : 130,559.63 = 130,559.63 : x
  2. Step 2: Convert to fraction form
    90,140.25/130,559.63 = 130,559.63/x
  3. Step 3: Cross multiply
    90,140.25x = 130,559.63 × 130,559.63
  4. Step 4: Simplify right side
    90,140.25x = 17,045,815,680.14
  5. Step 5: Solve for x
    x = 17,045,815,680.14/90,140.25
  6. Step 6: Final answer
    x = 189,103.27

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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.