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Finding the Third Proportional to 336,400 and 560,638

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Solution

The third proportional to 336,400 and 560,638 is: 934,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,400 : 560,638 = 560,638 : x
  2. Step 2: Convert to fraction form
    336,400/560,638 = 560,638/x
  3. Step 3: Cross multiply
    336,400x = 560,638 × 560,638
  4. Step 4: Simplify right side
    336,400x = 314,314,967,044
  5. Step 5: Solve for x
    x = 314,314,967,044/336,400
  6. Step 6: Final answer
    x = 934,348.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.