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Finding the Third Proportional to 463,044 and 982,932

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Solution

The third proportional to 463,044 and 982,932 is: 2,086,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,044 : 982,932 = 982,932 : x
  2. Step 2: Convert to fraction form
    463,044/982,932 = 982,932/x
  3. Step 3: Cross multiply
    463,044x = 982,932 × 982,932
  4. Step 4: Simplify right side
    463,044x = 966,155,316,624
  5. Step 5: Solve for x
    x = 966,155,316,624/463,044
  6. Step 6: Final answer
    x = 2,086,530.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.