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Finding the Third Proportional to 74,638 and 157,702

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Solution

The third proportional to 74,638 and 157,702 is: 333,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,638 : 157,702 = 157,702 : x
  2. Step 2: Convert to fraction form
    74,638/157,702 = 157,702/x
  3. Step 3: Cross multiply
    74,638x = 157,702 × 157,702
  4. Step 4: Simplify right side
    74,638x = 24,869,920,804
  5. Step 5: Solve for x
    x = 24,869,920,804/74,638
  6. Step 6: Final answer
    x = 333,207.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.