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Finding the Third Proportional to 202,287 and 291,376.50

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Solution

The third proportional to 202,287 and 291,376.50 is: 419,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,287 : 291,376.50 = 291,376.50 : x
  2. Step 2: Convert to fraction form
    202,287/291,376.50 = 291,376.50/x
  3. Step 3: Cross multiply
    202,287x = 291,376.50 × 291,376.50
  4. Step 4: Simplify right side
    202,287x = 84,900,264,752.25
  5. Step 5: Solve for x
    x = 84,900,264,752.25/202,287
  6. Step 6: Final answer
    x = 419,702.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.