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Finding the Third Proportional to 155,420 and 236,166

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Solution

The third proportional to 155,420 and 236,166 is: 358,862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,420 : 236,166 = 236,166 : x
  2. Step 2: Convert to fraction form
    155,420/236,166 = 236,166/x
  3. Step 3: Cross multiply
    155,420x = 236,166 × 236,166
  4. Step 4: Simplify right side
    155,420x = 55,774,379,556
  5. Step 5: Solve for x
    x = 55,774,379,556/155,420
  6. Step 6: Final answer
    x = 358,862.31

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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.