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Finding the Third Proportional to 256,749.75 and 377,854.88

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Solution

The third proportional to 256,749.75 and 377,854.88 is: 556,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,749.75 : 377,854.88 = 377,854.88 : x
  2. Step 2: Convert to fraction form
    256,749.75/377,854.88 = 377,854.88/x
  3. Step 3: Cross multiply
    256,749.75x = 377,854.88 × 377,854.88
  4. Step 4: Simplify right side
    256,749.75x = 142,774,306,561.27
  5. Step 5: Solve for x
    x = 142,774,306,561.27/256,749.75
  6. Step 6: Final answer
    x = 556,083.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.