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Finding the Third Proportional to 253,836 and 564,408

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Solution

The third proportional to 253,836 and 564,408 is: 1,254,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,836 : 564,408 = 564,408 : x
  2. Step 2: Convert to fraction form
    253,836/564,408 = 564,408/x
  3. Step 3: Cross multiply
    253,836x = 564,408 × 564,408
  4. Step 4: Simplify right side
    253,836x = 318,556,390,464
  5. Step 5: Solve for x
    x = 318,556,390,464/253,836
  6. Step 6: Final answer
    x = 1,254,969.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.