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Finding the Third Proportional to 72,090 and 107,750.25

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Solution

The third proportional to 72,090 and 107,750.25 is: 161,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,090 : 107,750.25 = 107,750.25 : x
  2. Step 2: Convert to fraction form
    72,090/107,750.25 = 107,750.25/x
  3. Step 3: Cross multiply
    72,090x = 107,750.25 × 107,750.25
  4. Step 4: Simplify right side
    72,090x = 11,610,116,375.06
  5. Step 5: Solve for x
    x = 11,610,116,375.06/72,090
  6. Step 6: Final answer
    x = 161,050.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.