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Finding the Third Proportional to 202,483 and 320,217.50

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Solution

The third proportional to 202,483 and 320,217.50 is: 506,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,483 : 320,217.50 = 320,217.50 : x
  2. Step 2: Convert to fraction form
    202,483/320,217.50 = 320,217.50/x
  3. Step 3: Cross multiply
    202,483x = 320,217.50 × 320,217.50
  4. Step 4: Simplify right side
    202,483x = 102,539,247,306.25
  5. Step 5: Solve for x
    x = 102,539,247,306.25/202,483
  6. Step 6: Final answer
    x = 506,409.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.