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Finding the Third Proportional to 412,908 and 581,460

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Solution

The third proportional to 412,908 and 581,460 is: 818,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,908 : 581,460 = 581,460 : x
  2. Step 2: Convert to fraction form
    412,908/581,460 = 581,460/x
  3. Step 3: Cross multiply
    412,908x = 581,460 × 581,460
  4. Step 4: Simplify right side
    412,908x = 338,095,731,600
  5. Step 5: Solve for x
    x = 338,095,731,600/412,908
  6. Step 6: Final answer
    x = 818,816.13

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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.