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Finding the Third Proportional to 81,232 and 134,585

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Solution

The third proportional to 81,232 and 134,585 is: 222,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,232 : 134,585 = 134,585 : x
  2. Step 2: Convert to fraction form
    81,232/134,585 = 134,585/x
  3. Step 3: Cross multiply
    81,232x = 134,585 × 134,585
  4. Step 4: Simplify right side
    81,232x = 18,113,122,225
  5. Step 5: Solve for x
    x = 18,113,122,225/81,232
  6. Step 6: Final answer
    x = 222,980.13

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.