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Finding the Third Proportional to 90,220 and 195,810

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Solution

The third proportional to 90,220 and 195,810 is: 424,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,220 : 195,810 = 195,810 : x
  2. Step 2: Convert to fraction form
    90,220/195,810 = 195,810/x
  3. Step 3: Cross multiply
    90,220x = 195,810 × 195,810
  4. Step 4: Simplify right side
    90,220x = 38,341,556,100
  5. Step 5: Solve for x
    x = 38,341,556,100/90,220
  6. Step 6: Final answer
    x = 424,978.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.