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Finding the Third Proportional to 287,219.50 and 402,486.25

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Solution

The third proportional to 287,219.50 and 402,486.25 is: 564,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,219.50 : 402,486.25 = 402,486.25 : x
  2. Step 2: Convert to fraction form
    287,219.50/402,486.25 = 402,486.25/x
  3. Step 3: Cross multiply
    287,219.50x = 402,486.25 × 402,486.25
  4. Step 4: Simplify right side
    287,219.50x = 161,995,181,439.06
  5. Step 5: Solve for x
    x = 161,995,181,439.06/287,219.50
  6. Step 6: Final answer
    x = 564,011.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.