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Finding the Third Proportional to 150,902 and 318,328

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Solution

The third proportional to 150,902 and 318,328 is: 671,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,902 : 318,328 = 318,328 : x
  2. Step 2: Convert to fraction form
    150,902/318,328 = 318,328/x
  3. Step 3: Cross multiply
    150,902x = 318,328 × 318,328
  4. Step 4: Simplify right side
    150,902x = 101,332,715,584
  5. Step 5: Solve for x
    x = 101,332,715,584/150,902
  6. Step 6: Final answer
    x = 671,513.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.