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Finding the Third Proportional to 288,927 and 313,348.50

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Solution

The third proportional to 288,927 and 313,348.50 is: 339,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,927 : 313,348.50 = 313,348.50 : x
  2. Step 2: Convert to fraction form
    288,927/313,348.50 = 313,348.50/x
  3. Step 3: Cross multiply
    288,927x = 313,348.50 × 313,348.50
  4. Step 4: Simplify right side
    288,927x = 98,187,282,452.25
  5. Step 5: Solve for x
    x = 98,187,282,452.25/288,927
  6. Step 6: Final answer
    x = 339,834.22

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.