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Finding the Third Proportional to 228,611 and 342,904

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Solution

The third proportional to 228,611 and 342,904 is: 514,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,611 : 342,904 = 342,904 : x
  2. Step 2: Convert to fraction form
    228,611/342,904 = 342,904/x
  3. Step 3: Cross multiply
    228,611x = 342,904 × 342,904
  4. Step 4: Simplify right side
    228,611x = 117,583,153,216
  5. Step 5: Solve for x
    x = 117,583,153,216/228,611
  6. Step 6: Final answer
    x = 514,337.25

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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.