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Finding the Third Proportional to 103,658 and 158,491

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Solution

The third proportional to 103,658 and 158,491 is: 242,329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658 : 158,491 = 158,491 : x
  2. Step 2: Convert to fraction form
    103,658/158,491 = 158,491/x
  3. Step 3: Cross multiply
    103,658x = 158,491 × 158,491
  4. Step 4: Simplify right side
    103,658x = 25,119,397,081
  5. Step 5: Solve for x
    x = 25,119,397,081/103,658
  6. Step 6: Final answer
    x = 242,329.56

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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.