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Finding the Third Proportional to 215,974.79 and 471,315.59

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Solution

The third proportional to 215,974.79 and 471,315.59 is: 1,028,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,974.79 : 471,315.59 = 471,315.59 : x
  2. Step 2: Convert to fraction form
    215,974.79/471,315.59 = 471,315.59/x
  3. Step 3: Cross multiply
    215,974.79x = 471,315.59 × 471,315.59
  4. Step 4: Simplify right side
    215,974.79x = 222,138,381,547.61
  5. Step 5: Solve for x
    x = 222,138,381,547.61/215,974.79
  6. Step 6: Final answer
    x = 1,028,538.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.