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Finding the Third Proportional to 218,765.81 and 474,877.69

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Solution

The third proportional to 218,765.81 and 474,877.69 is: 1,030,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,765.81 : 474,877.69 = 474,877.69 : x
  2. Step 2: Convert to fraction form
    218,765.81/474,877.69 = 474,877.69/x
  3. Step 3: Cross multiply
    218,765.81x = 474,877.69 × 474,877.69
  4. Step 4: Simplify right side
    218,765.81x = 225,508,818,085.35
  5. Step 5: Solve for x
    x = 225,508,818,085.35/218,765.81
  6. Step 6: Final answer
    x = 1,030,822.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.