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Finding the Third Proportional to 162,720 and 350,418

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Solution

The third proportional to 162,720 and 350,418 is: 754,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,720 : 350,418 = 350,418 : x
  2. Step 2: Convert to fraction form
    162,720/350,418 = 350,418/x
  3. Step 3: Cross multiply
    162,720x = 350,418 × 350,418
  4. Step 4: Simplify right side
    162,720x = 122,792,774,724
  5. Step 5: Solve for x
    x = 122,792,774,724/162,720
  6. Step 6: Final answer
    x = 754,626.20

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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.