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Finding the Third Proportional to 140,278.50 and 302,701.50

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Solution

The third proportional to 140,278.50 and 302,701.50 is: 653,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,278.50 : 302,701.50 = 302,701.50 : x
  2. Step 2: Convert to fraction form
    140,278.50/302,701.50 = 302,701.50/x
  3. Step 3: Cross multiply
    140,278.50x = 302,701.50 × 302,701.50
  4. Step 4: Simplify right side
    140,278.50x = 91,628,198,102.25
  5. Step 5: Solve for x
    x = 91,628,198,102.25/140,278.50
  6. Step 6: Final answer
    x = 653,187.75

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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.