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Finding the Third Proportional to 75,688.50 and 163,809

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Solution

The third proportional to 75,688.50 and 163,809 is: 354,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,688.50 : 163,809 = 163,809 : x
  2. Step 2: Convert to fraction form
    75,688.50/163,809 = 163,809/x
  3. Step 3: Cross multiply
    75,688.50x = 163,809 × 163,809
  4. Step 4: Simplify right side
    75,688.50x = 26,833,388,481
  5. Step 5: Solve for x
    x = 26,833,388,481/75,688.50
  6. Step 6: Final answer
    x = 354,523.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.