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Finding the Third Proportional to 218,718 and 342,656

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Solution

The third proportional to 218,718 and 342,656 is: 536,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,718 : 342,656 = 342,656 : x
  2. Step 2: Convert to fraction form
    218,718/342,656 = 342,656/x
  3. Step 3: Cross multiply
    218,718x = 342,656 × 342,656
  4. Step 4: Simplify right side
    218,718x = 117,413,134,336
  5. Step 5: Solve for x
    x = 117,413,134,336/218,718
  6. Step 6: Final answer
    x = 536,824.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.