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Finding the Third Proportional to 487,021 and 663,464

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Solution

The third proportional to 487,021 and 663,464 is: 903,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,021 : 663,464 = 663,464 : x
  2. Step 2: Convert to fraction form
    487,021/663,464 = 663,464/x
  3. Step 3: Cross multiply
    487,021x = 663,464 × 663,464
  4. Step 4: Simplify right side
    487,021x = 440,184,479,296
  5. Step 5: Solve for x
    x = 440,184,479,296/487,021
  6. Step 6: Final answer
    x = 903,830.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.