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Finding the Third Proportional to 412,875.75 and 581,423.63

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Solution

The third proportional to 412,875.75 and 581,423.63 is: 818,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,875.75 : 581,423.63 = 581,423.63 : x
  2. Step 2: Convert to fraction form
    412,875.75/581,423.63 = 581,423.63/x
  3. Step 3: Cross multiply
    412,875.75x = 581,423.63 × 581,423.63
  4. Step 4: Simplify right side
    412,875.75x = 338,053,431,708.14
  5. Step 5: Solve for x
    x = 338,053,431,708.14/412,875.75
  6. Step 6: Final answer
    x = 818,777.64

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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.