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Finding the Third Proportional to 205,613 and 322,619.50

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Solution

The third proportional to 205,613 and 322,619.50 is: 506,209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,613 : 322,619.50 = 322,619.50 : x
  2. Step 2: Convert to fraction form
    205,613/322,619.50 = 322,619.50/x
  3. Step 3: Cross multiply
    205,613x = 322,619.50 × 322,619.50
  4. Step 4: Simplify right side
    205,613x = 104,083,341,780.25
  5. Step 5: Solve for x
    x = 104,083,341,780.25/205,613
  6. Step 6: Final answer
    x = 506,209.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.