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Finding the Third Proportional to 155,916 and 342,518

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Solution

The third proportional to 155,916 and 342,518 is: 752,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,916 : 342,518 = 342,518 : x
  2. Step 2: Convert to fraction form
    155,916/342,518 = 342,518/x
  3. Step 3: Cross multiply
    155,916x = 342,518 × 342,518
  4. Step 4: Simplify right side
    155,916x = 117,318,580,324
  5. Step 5: Solve for x
    x = 117,318,580,324/155,916
  6. Step 6: Final answer
    x = 752,447.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.