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Finding the Third Proportional to 103,688 and 158,809

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Solution

The third proportional to 103,688 and 158,809 is: 243,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,688 : 158,809 = 158,809 : x
  2. Step 2: Convert to fraction form
    103,688/158,809 = 158,809/x
  3. Step 3: Cross multiply
    103,688x = 158,809 × 158,809
  4. Step 4: Simplify right side
    103,688x = 25,220,298,481
  5. Step 5: Solve for x
    x = 25,220,298,481/103,688
  6. Step 6: Final answer
    x = 243,232.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.