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Finding the Third Proportional to 212,376 and 456,231

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Solution

The third proportional to 212,376 and 456,231 is: 980,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,376 : 456,231 = 456,231 : x
  2. Step 2: Convert to fraction form
    212,376/456,231 = 456,231/x
  3. Step 3: Cross multiply
    212,376x = 456,231 × 456,231
  4. Step 4: Simplify right side
    212,376x = 208,146,725,361
  5. Step 5: Solve for x
    x = 208,146,725,361/212,376
  6. Step 6: Final answer
    x = 980,085.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.