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Finding the Third Proportional to 121,818.94 and 261,635.06

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Solution

The third proportional to 121,818.94 and 261,635.06 is: 561,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,818.94 : 261,635.06 = 261,635.06 : x
  2. Step 2: Convert to fraction form
    121,818.94/261,635.06 = 261,635.06/x
  3. Step 3: Cross multiply
    121,818.94x = 261,635.06 × 261,635.06
  4. Step 4: Simplify right side
    121,818.94x = 68,452,905,929.38
  5. Step 5: Solve for x
    x = 68,452,905,929.38/121,818.94
  6. Step 6: Final answer
    x = 561,923.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.