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Finding the Third Proportional to 228,556 and 342,617

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Solution

The third proportional to 228,556 and 342,617 is: 513,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,556 : 342,617 = 342,617 : x
  2. Step 2: Convert to fraction form
    228,556/342,617 = 342,617/x
  3. Step 3: Cross multiply
    228,556x = 342,617 × 342,617
  4. Step 4: Simplify right side
    228,556x = 117,386,408,689
  5. Step 5: Solve for x
    x = 117,386,408,689/228,556
  6. Step 6: Final answer
    x = 513,600.21

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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.