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Finding the Third Proportional to 74,585 and 108,355

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Solution

The third proportional to 74,585 and 108,355 is: 157,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,585 : 108,355 = 108,355 : x
  2. Step 2: Convert to fraction form
    74,585/108,355 = 108,355/x
  3. Step 3: Cross multiply
    74,585x = 108,355 × 108,355
  4. Step 4: Simplify right side
    74,585x = 11,740,806,025
  5. Step 5: Solve for x
    x = 11,740,806,025/74,585
  6. Step 6: Final answer
    x = 157,415.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.