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Finding the Third Proportional to 463,666 and 988,574

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Solution

The third proportional to 463,666 and 988,574 is: 2,107,720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,666 : 988,574 = 988,574 : x
  2. Step 2: Convert to fraction form
    463,666/988,574 = 988,574/x
  3. Step 3: Cross multiply
    463,666x = 988,574 × 988,574
  4. Step 4: Simplify right side
    463,666x = 977,278,553,476
  5. Step 5: Solve for x
    x = 977,278,553,476/463,666
  6. Step 6: Final answer
    x = 2,107,720.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.