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Finding the Third Proportional to 638,984 and 1,367,745.50

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Solution

The third proportional to 638,984 and 1,367,745.50 is: 2,927,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,984 : 1,367,745.50 = 1,367,745.50 : x
  2. Step 2: Convert to fraction form
    638,984/1,367,745.50 = 1,367,745.50/x
  3. Step 3: Cross multiply
    638,984x = 1,367,745.50 × 1,367,745.50
  4. Step 4: Simplify right side
    638,984x = 1,870,727,752,770.25
  5. Step 5: Solve for x
    x = 1,870,727,752,770.25/638,984
  6. Step 6: Final answer
    x = 2,927,659.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.