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Finding the Third Proportional to 121,987.50 and 259,527

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Solution

The third proportional to 121,987.50 and 259,527 is: 552,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,987.50 : 259,527 = 259,527 : x
  2. Step 2: Convert to fraction form
    121,987.50/259,527 = 259,527/x
  3. Step 3: Cross multiply
    121,987.50x = 259,527 × 259,527
  4. Step 4: Simplify right side
    121,987.50x = 67,354,263,729
  5. Step 5: Solve for x
    x = 67,354,263,729/121,987.50
  6. Step 6: Final answer
    x = 552,140.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.