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Finding the Third Proportional to 76,360.22 and 161,200.13

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Solution

The third proportional to 76,360.22 and 161,200.13 is: 340,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,360.22 : 161,200.13 = 161,200.13 : x
  2. Step 2: Convert to fraction form
    76,360.22/161,200.13 = 161,200.13/x
  3. Step 3: Cross multiply
    76,360.22x = 161,200.13 × 161,200.13
  4. Step 4: Simplify right side
    76,360.22x = 25,985,480,300.02
  5. Step 5: Solve for x
    x = 25,985,480,300.02/76,360.22
  6. Step 6: Final answer
    x = 340,301.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.