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Finding the Third Proportional to 212,312 and 331,386

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Solution

The third proportional to 212,312 and 331,386 is: 517,241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,312 : 331,386 = 331,386 : x
  2. Step 2: Convert to fraction form
    212,312/331,386 = 331,386/x
  3. Step 3: Cross multiply
    212,312x = 331,386 × 331,386
  4. Step 4: Simplify right side
    212,312x = 109,816,680,996
  5. Step 5: Solve for x
    x = 109,816,680,996/212,312
  6. Step 6: Final answer
    x = 517,241.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.