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Finding the Third Proportional to 205,445 and 288,463.50

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Solution

The third proportional to 205,445 and 288,463.50 is: 405,029.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,445 : 288,463.50 = 288,463.50 : x
  2. Step 2: Convert to fraction form
    205,445/288,463.50 = 288,463.50/x
  3. Step 3: Cross multiply
    205,445x = 288,463.50 × 288,463.50
  4. Step 4: Simplify right side
    205,445x = 83,211,190,832.25
  5. Step 5: Solve for x
    x = 83,211,190,832.25/205,445
  6. Step 6: Final answer
    x = 405,029.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.