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Finding the Third Proportional to 212,410 and 296,982

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Solution

The third proportional to 212,410 and 296,982 is: 415,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,410 : 296,982 = 296,982 : x
  2. Step 2: Convert to fraction form
    212,410/296,982 = 296,982/x
  3. Step 3: Cross multiply
    212,410x = 296,982 × 296,982
  4. Step 4: Simplify right side
    212,410x = 88,198,308,324
  5. Step 5: Solve for x
    x = 88,198,308,324/212,410
  6. Step 6: Final answer
    x = 415,226.72

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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.