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Finding the Third Proportional to 365,553 and 564,921

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Solution

The third proportional to 365,553 and 564,921 is: 873,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,553 : 564,921 = 564,921 : x
  2. Step 2: Convert to fraction form
    365,553/564,921 = 564,921/x
  3. Step 3: Cross multiply
    365,553x = 564,921 × 564,921
  4. Step 4: Simplify right side
    365,553x = 319,135,736,241
  5. Step 5: Solve for x
    x = 319,135,736,241/365,553
  6. Step 6: Final answer
    x = 873,021.80

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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.