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Finding the Third Proportional to 70,177.50 and 143,176.50

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Solution

The third proportional to 70,177.50 and 143,176.50 is: 292,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,177.50 : 143,176.50 = 143,176.50 : x
  2. Step 2: Convert to fraction form
    70,177.50/143,176.50 = 143,176.50/x
  3. Step 3: Cross multiply
    70,177.50x = 143,176.50 × 143,176.50
  4. Step 4: Simplify right side
    70,177.50x = 20,499,510,152.25
  5. Step 5: Solve for x
    x = 20,499,510,152.25/70,177.50
  6. Step 6: Final answer
    x = 292,109.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.