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Finding the Third Proportional to 162,720 and 350,415

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Solution

The third proportional to 162,720 and 350,415 is: 754,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,720 : 350,415 = 350,415 : x
  2. Step 2: Convert to fraction form
    162,720/350,415 = 350,415/x
  3. Step 3: Cross multiply
    162,720x = 350,415 × 350,415
  4. Step 4: Simplify right side
    162,720x = 122,790,672,225
  5. Step 5: Solve for x
    x = 122,790,672,225/162,720
  6. Step 6: Final answer
    x = 754,613.28

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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.