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Finding the Third Proportional to 638,835.94 and 1,389,774.38

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Solution

The third proportional to 638,835.94 and 1,389,774.38 is: 3,023,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,835.94 : 1,389,774.38 = 1,389,774.38 : x
  2. Step 2: Convert to fraction form
    638,835.94/1,389,774.38 = 1,389,774.38/x
  3. Step 3: Cross multiply
    638,835.94x = 1,389,774.38 × 1,389,774.38
  4. Step 4: Simplify right side
    638,835.94x = 1,931,472,813,406.64
  5. Step 5: Solve for x
    x = 1,931,472,813,406.64/638,835.94
  6. Step 6: Final answer
    x = 3,023,425.42

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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.