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Finding the Third Proportional to 75,160.13 and 163,145.25

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Solution

The third proportional to 75,160.13 and 163,145.25 is: 354,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,160.13 : 163,145.25 = 163,145.25 : x
  2. Step 2: Convert to fraction form
    75,160.13/163,145.25 = 163,145.25/x
  3. Step 3: Cross multiply
    75,160.13x = 163,145.25 × 163,145.25
  4. Step 4: Simplify right side
    75,160.13x = 26,616,372,597.56
  5. Step 5: Solve for x
    x = 26,616,372,597.56/75,160.13
  6. Step 6: Final answer
    x = 354,128.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.