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Finding the Third Proportional to 31,218 and 55,506

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Solution

The third proportional to 31,218 and 55,506 is: 98,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,218 : 55,506 = 55,506 : x
  2. Step 2: Convert to fraction form
    31,218/55,506 = 55,506/x
  3. Step 3: Cross multiply
    31,218x = 55,506 × 55,506
  4. Step 4: Simplify right side
    31,218x = 3,080,916,036
  5. Step 5: Solve for x
    x = 3,080,916,036/31,218
  6. Step 6: Final answer
    x = 98,690.37

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.