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Finding the Third Proportional to 215,513 and 471,154

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Solution

The third proportional to 215,513 and 471,154 is: 1,030,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,513 : 471,154 = 471,154 : x
  2. Step 2: Convert to fraction form
    215,513/471,154 = 471,154/x
  3. Step 3: Cross multiply
    215,513x = 471,154 × 471,154
  4. Step 4: Simplify right side
    215,513x = 221,986,091,716
  5. Step 5: Solve for x
    x = 221,986,091,716/215,513
  6. Step 6: Final answer
    x = 1,030,035.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.