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Finding the Third Proportional to 72,220.31 and 161,036.81

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Solution

The third proportional to 72,220.31 and 161,036.81 is: 359,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,220.31 : 161,036.81 = 161,036.81 : x
  2. Step 2: Convert to fraction form
    72,220.31/161,036.81 = 161,036.81/x
  3. Step 3: Cross multiply
    72,220.31x = 161,036.81 × 161,036.81
  4. Step 4: Simplify right side
    72,220.31x = 25,932,854,980.16
  5. Step 5: Solve for x
    x = 25,932,854,980.16/72,220.31
  6. Step 6: Final answer
    x = 359,079.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.