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Finding the Third Proportional to 216,982 and 457,292

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Solution

The third proportional to 216,982 and 457,292 is: 963,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,982 : 457,292 = 457,292 : x
  2. Step 2: Convert to fraction form
    216,982/457,292 = 457,292/x
  3. Step 3: Cross multiply
    216,982x = 457,292 × 457,292
  4. Step 4: Simplify right side
    216,982x = 209,115,973,264
  5. Step 5: Solve for x
    x = 209,115,973,264/216,982
  6. Step 6: Final answer
    x = 963,748.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.