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Finding the Third Proportional to 412,879 and 581,428

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Solution

The third proportional to 412,879 and 581,428 is: 818,783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,879 : 581,428 = 581,428 : x
  2. Step 2: Convert to fraction form
    412,879/581,428 = 581,428/x
  3. Step 3: Cross multiply
    412,879x = 581,428 × 581,428
  4. Step 4: Simplify right side
    412,879x = 338,058,519,184
  5. Step 5: Solve for x
    x = 338,058,519,184/412,879
  6. Step 6: Final answer
    x = 818,783.52

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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.