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Finding the Third Proportional to 74,909.50 and 160,480.50

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Solution

The third proportional to 74,909.50 and 160,480.50 is: 343,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,909.50 : 160,480.50 = 160,480.50 : x
  2. Step 2: Convert to fraction form
    74,909.50/160,480.50 = 160,480.50/x
  3. Step 3: Cross multiply
    74,909.50x = 160,480.50 × 160,480.50
  4. Step 4: Simplify right side
    74,909.50x = 25,753,990,880.25
  5. Step 5: Solve for x
    x = 25,753,990,880.25/74,909.50
  6. Step 6: Final answer
    x = 343,801.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.