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Finding the Third Proportional to 202,283 and 291,382

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Solution

The third proportional to 202,283 and 291,382 is: 419,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,283 : 291,382 = 291,382 : x
  2. Step 2: Convert to fraction form
    202,283/291,382 = 291,382/x
  3. Step 3: Cross multiply
    202,283x = 291,382 × 291,382
  4. Step 4: Simplify right side
    202,283x = 84,903,469,924
  5. Step 5: Solve for x
    x = 84,903,469,924/202,283
  6. Step 6: Final answer
    x = 419,726.18

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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.