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Finding the Third Proportional to 74,987 and 163,095

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Solution

The third proportional to 74,987 and 163,095 is: 354,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,987 : 163,095 = 163,095 : x
  2. Step 2: Convert to fraction form
    74,987/163,095 = 163,095/x
  3. Step 3: Cross multiply
    74,987x = 163,095 × 163,095
  4. Step 4: Simplify right side
    74,987x = 26,599,979,025
  5. Step 5: Solve for x
    x = 26,599,979,025/74,987
  6. Step 6: Final answer
    x = 354,727.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.