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Finding the Third Proportional to 157,809 and 221,970

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Solution

The third proportional to 157,809 and 221,970 is: 312,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,809 : 221,970 = 221,970 : x
  2. Step 2: Convert to fraction form
    157,809/221,970 = 221,970/x
  3. Step 3: Cross multiply
    157,809x = 221,970 × 221,970
  4. Step 4: Simplify right side
    157,809x = 49,270,680,900
  5. Step 5: Solve for x
    x = 49,270,680,900/157,809
  6. Step 6: Final answer
    x = 312,217.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.