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Finding the Third Proportional to 390,105 and 811,138

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Solution

The third proportional to 390,105 and 811,138 is: 1,686,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,105 : 811,138 = 811,138 : x
  2. Step 2: Convert to fraction form
    390,105/811,138 = 811,138/x
  3. Step 3: Cross multiply
    390,105x = 811,138 × 811,138
  4. Step 4: Simplify right side
    390,105x = 657,944,855,044
  5. Step 5: Solve for x
    x = 657,944,855,044/390,105
  6. Step 6: Final answer
    x = 1,686,584.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.