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Finding the Third Proportional to 212,824.50 and 317,391

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Solution

The third proportional to 212,824.50 and 317,391 is: 473,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,824.50 : 317,391 = 317,391 : x
  2. Step 2: Convert to fraction form
    212,824.50/317,391 = 317,391/x
  3. Step 3: Cross multiply
    212,824.50x = 317,391 × 317,391
  4. Step 4: Simplify right side
    212,824.50x = 100,737,046,881
  5. Step 5: Solve for x
    x = 100,737,046,881/212,824.50
  6. Step 6: Final answer
    x = 473,333.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.