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Finding the Third Proportional to 205,479 and 302,677.50

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Solution

The third proportional to 205,479 and 302,677.50 is: 445,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,479 : 302,677.50 = 302,677.50 : x
  2. Step 2: Convert to fraction form
    205,479/302,677.50 = 302,677.50/x
  3. Step 3: Cross multiply
    205,479x = 302,677.50 × 302,677.50
  4. Step 4: Simplify right side
    205,479x = 91,613,669,006.25
  5. Step 5: Solve for x
    x = 91,613,669,006.25/205,479
  6. Step 6: Final answer
    x = 445,854.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.