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Finding the Third Proportional to 88,586 and 193,710

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Solution

The third proportional to 88,586 and 193,710 is: 423,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,586 : 193,710 = 193,710 : x
  2. Step 2: Convert to fraction form
    88,586/193,710 = 193,710/x
  3. Step 3: Cross multiply
    88,586x = 193,710 × 193,710
  4. Step 4: Simplify right side
    88,586x = 37,523,564,100
  5. Step 5: Solve for x
    x = 37,523,564,100/88,586
  6. Step 6: Final answer
    x = 423,583.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.