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Finding the Third Proportional to 412,856.58 and 581,395.64

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Solution

The third proportional to 412,856.58 and 581,395.64 is: 818,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,856.58 : 581,395.64 = 581,395.64 : x
  2. Step 2: Convert to fraction form
    412,856.58/581,395.64 = 581,395.64/x
  3. Step 3: Cross multiply
    412,856.58x = 581,395.64 × 581,395.64
  4. Step 4: Simplify right side
    412,856.58x = 338,020,890,937.75
  5. Step 5: Solve for x
    x = 338,020,890,937.75/412,856.58
  6. Step 6: Final answer
    x = 818,736.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.