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Finding the Third Proportional to 365,469 and 564,821

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Solution

The third proportional to 365,469 and 564,821 is: 872,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,469 : 564,821 = 564,821 : x
  2. Step 2: Convert to fraction form
    365,469/564,821 = 564,821/x
  3. Step 3: Cross multiply
    365,469x = 564,821 × 564,821
  4. Step 4: Simplify right side
    365,469x = 319,022,762,041
  5. Step 5: Solve for x
    x = 319,022,762,041/365,469
  6. Step 6: Final answer
    x = 872,913.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.