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Finding the Third Proportional to 212,347 and 457,904

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Solution

The third proportional to 212,347 and 457,904 is: 987,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,347 : 457,904 = 457,904 : x
  2. Step 2: Convert to fraction form
    212,347/457,904 = 457,904/x
  3. Step 3: Cross multiply
    212,347x = 457,904 × 457,904
  4. Step 4: Simplify right side
    212,347x = 209,676,073,216
  5. Step 5: Solve for x
    x = 209,676,073,216/212,347
  6. Step 6: Final answer
    x = 987,421.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.