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Finding the Third Proportional to 103,672 and 158,785

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Solution

The third proportional to 103,672 and 158,785 is: 243,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,672 : 158,785 = 158,785 : x
  2. Step 2: Convert to fraction form
    103,672/158,785 = 158,785/x
  3. Step 3: Cross multiply
    103,672x = 158,785 × 158,785
  4. Step 4: Simplify right side
    103,672x = 25,212,676,225
  5. Step 5: Solve for x
    x = 25,212,676,225/103,672
  6. Step 6: Final answer
    x = 243,196.58

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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.