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Finding the Third Proportional to 259,764 and 390,408

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Solution

The third proportional to 259,764 and 390,408 is: 586,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,764 : 390,408 = 390,408 : x
  2. Step 2: Convert to fraction form
    259,764/390,408 = 390,408/x
  3. Step 3: Cross multiply
    259,764x = 390,408 × 390,408
  4. Step 4: Simplify right side
    259,764x = 152,418,406,464
  5. Step 5: Solve for x
    x = 152,418,406,464/259,764
  6. Step 6: Final answer
    x = 586,757.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.