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Finding the Third Proportional to 155,708 and 221,895

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Solution

The third proportional to 155,708 and 221,895 is: 316,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,708 : 221,895 = 221,895 : x
  2. Step 2: Convert to fraction form
    155,708/221,895 = 221,895/x
  3. Step 3: Cross multiply
    155,708x = 221,895 × 221,895
  4. Step 4: Simplify right side
    155,708x = 49,237,391,025
  5. Step 5: Solve for x
    x = 49,237,391,025/155,708
  6. Step 6: Final answer
    x = 316,216.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.