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Finding the Third Proportional to 412,912 and 581,448

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Solution

The third proportional to 412,912 and 581,448 is: 818,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,912 : 581,448 = 581,448 : x
  2. Step 2: Convert to fraction form
    412,912/581,448 = 581,448/x
  3. Step 3: Cross multiply
    412,912x = 581,448 × 581,448
  4. Step 4: Simplify right side
    412,912x = 338,081,776,704
  5. Step 5: Solve for x
    x = 338,081,776,704/412,912
  6. Step 6: Final answer
    x = 818,774.40

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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.