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Finding the Third Proportional to 287,677.50 and 605,689.50

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Solution

The third proportional to 287,677.50 and 605,689.50 is: 1,275,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,677.50 : 605,689.50 = 605,689.50 : x
  2. Step 2: Convert to fraction form
    287,677.50/605,689.50 = 605,689.50/x
  3. Step 3: Cross multiply
    287,677.50x = 605,689.50 × 605,689.50
  4. Step 4: Simplify right side
    287,677.50x = 366,859,770,410.25
  5. Step 5: Solve for x
    x = 366,859,770,410.25/287,677.50
  6. Step 6: Final answer
    x = 1,275,246.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.