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Finding the Third Proportional to 131,419.13 and 205,888.50

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Solution

The third proportional to 131,419.13 and 205,888.50 is: 322,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,419.13 : 205,888.50 = 205,888.50 : x
  2. Step 2: Convert to fraction form
    131,419.13/205,888.50 = 205,888.50/x
  3. Step 3: Cross multiply
    131,419.13x = 205,888.50 × 205,888.50
  4. Step 4: Simplify right side
    131,419.13x = 42,390,074,432.25
  5. Step 5: Solve for x
    x = 42,390,074,432.25/131,419.13
  6. Step 6: Final answer
    x = 322,556.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.