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Finding the Third Proportional to 287,617.50 and 627,145.88

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Solution

The third proportional to 287,617.50 and 627,145.88 is: 1,367,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,617.50 : 627,145.88 = 627,145.88 : x
  2. Step 2: Convert to fraction form
    287,617.50/627,145.88 = 627,145.88/x
  3. Step 3: Cross multiply
    287,617.50x = 627,145.88 × 627,145.88
  4. Step 4: Simplify right side
    287,617.50x = 393,311,948,529.52
  5. Step 5: Solve for x
    x = 393,311,948,529.52/287,617.50
  6. Step 6: Final answer
    x = 1,367,482.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.