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Finding the Third Proportional to 161,815.50 and 251,242.50

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Solution

The third proportional to 161,815.50 and 251,242.50 is: 390,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,815.50 : 251,242.50 = 251,242.50 : x
  2. Step 2: Convert to fraction form
    161,815.50/251,242.50 = 251,242.50/x
  3. Step 3: Cross multiply
    161,815.50x = 251,242.50 × 251,242.50
  4. Step 4: Simplify right side
    161,815.50x = 63,122,793,806.25
  5. Step 5: Solve for x
    x = 63,122,793,806.25/161,815.50
  6. Step 6: Final answer
    x = 390,091.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.