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Finding the Third Proportional to 121,278.50 and 255,123.25

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Solution

The third proportional to 121,278.50 and 255,123.25 is: 536,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,278.50 : 255,123.25 = 255,123.25 : x
  2. Step 2: Convert to fraction form
    121,278.50/255,123.25 = 255,123.25/x
  3. Step 3: Cross multiply
    121,278.50x = 255,123.25 × 255,123.25
  4. Step 4: Simplify right side
    121,278.50x = 65,087,872,690.56
  5. Step 5: Solve for x
    x = 65,087,872,690.56/121,278.50
  6. Step 6: Final answer
    x = 536,681.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.