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Finding the Third Proportional to 121,403.81 and 247,627.13

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Solution

The third proportional to 121,403.81 and 247,627.13 is: 505,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,403.81 : 247,627.13 = 247,627.13 : x
  2. Step 2: Convert to fraction form
    121,403.81/247,627.13 = 247,627.13/x
  3. Step 3: Cross multiply
    121,403.81x = 247,627.13 × 247,627.13
  4. Step 4: Simplify right side
    121,403.81x = 61,319,193,035.77
  5. Step 5: Solve for x
    x = 61,319,193,035.77/121,403.81
  6. Step 6: Final answer
    x = 505,084.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.