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Finding the Third Proportional to 207,664 and 315,600

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Solution

The third proportional to 207,664 and 315,600 is: 479,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,664 : 315,600 = 315,600 : x
  2. Step 2: Convert to fraction form
    207,664/315,600 = 315,600/x
  3. Step 3: Cross multiply
    207,664x = 315,600 × 315,600
  4. Step 4: Simplify right side
    207,664x = 99,603,360,000
  5. Step 5: Solve for x
    x = 99,603,360,000/207,664
  6. Step 6: Final answer
    x = 479,637.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.