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Finding the Third Proportional to 121,182.75 and 258,860.81

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Solution

The third proportional to 121,182.75 and 258,860.81 is: 552,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,182.75 : 258,860.81 = 258,860.81 : x
  2. Step 2: Convert to fraction form
    121,182.75/258,860.81 = 258,860.81/x
  3. Step 3: Cross multiply
    121,182.75x = 258,860.81 × 258,860.81
  4. Step 4: Simplify right side
    121,182.75x = 67,008,920,248.16
  5. Step 5: Solve for x
    x = 67,008,920,248.16/121,182.75
  6. Step 6: Final answer
    x = 552,957.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.