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Finding the Third Proportional to 287,965.13 and 396,954

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Solution

The third proportional to 287,965.13 and 396,954 is: 547,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,965.13 : 396,954 = 396,954 : x
  2. Step 2: Convert to fraction form
    287,965.13/396,954 = 396,954/x
  3. Step 3: Cross multiply
    287,965.13x = 396,954 × 396,954
  4. Step 4: Simplify right side
    287,965.13x = 157,572,478,116
  5. Step 5: Solve for x
    x = 157,572,478,116/287,965.13
  6. Step 6: Final answer
    x = 547,192.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.