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Finding the Third Proportional to 78,889 and 172,035

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Solution

The third proportional to 78,889 and 172,035 is: 375,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,889 : 172,035 = 172,035 : x
  2. Step 2: Convert to fraction form
    78,889/172,035 = 172,035/x
  3. Step 3: Cross multiply
    78,889x = 172,035 × 172,035
  4. Step 4: Simplify right side
    78,889x = 29,596,041,225
  5. Step 5: Solve for x
    x = 29,596,041,225/78,889
  6. Step 6: Final answer
    x = 375,160.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.