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Finding the Third Proportional to 157,806 and 221,967

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Solution

The third proportional to 157,806 and 221,967 is: 312,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,806 : 221,967 = 221,967 : x
  2. Step 2: Convert to fraction form
    157,806/221,967 = 221,967/x
  3. Step 3: Cross multiply
    157,806x = 221,967 × 221,967
  4. Step 4: Simplify right side
    157,806x = 49,269,349,089
  5. Step 5: Solve for x
    x = 49,269,349,089/157,806
  6. Step 6: Final answer
    x = 312,214.68

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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.