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Finding the Third Proportional to 215,315 and 463,534

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Solution

The third proportional to 215,315 and 463,534 is: 997,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,315 : 463,534 = 463,534 : x
  2. Step 2: Convert to fraction form
    215,315/463,534 = 463,534/x
  3. Step 3: Cross multiply
    215,315x = 463,534 × 463,534
  4. Step 4: Simplify right side
    215,315x = 214,863,769,156
  5. Step 5: Solve for x
    x = 214,863,769,156/215,315
  6. Step 6: Final answer
    x = 997,904.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.