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Finding the Third Proportional to 212,692 and 297,402

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Solution

The third proportional to 212,692 and 297,402 is: 415,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,692 : 297,402 = 297,402 : x
  2. Step 2: Convert to fraction form
    212,692/297,402 = 297,402/x
  3. Step 3: Cross multiply
    212,692x = 297,402 × 297,402
  4. Step 4: Simplify right side
    212,692x = 88,447,949,604
  5. Step 5: Solve for x
    x = 88,447,949,604/212,692
  6. Step 6: Final answer
    x = 415,849.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.