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Finding the Third Proportional to 216,315 and 469,134

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Solution

The third proportional to 216,315 and 469,134 is: 1,017,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,315 : 469,134 = 469,134 : x
  2. Step 2: Convert to fraction form
    216,315/469,134 = 469,134/x
  3. Step 3: Cross multiply
    216,315x = 469,134 × 469,134
  4. Step 4: Simplify right side
    216,315x = 220,086,709,956
  5. Step 5: Solve for x
    x = 220,086,709,956/216,315
  6. Step 6: Final answer
    x = 1,017,436.19

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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.