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Finding the Third Proportional to 312,198 and 464,841

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Solution

The third proportional to 312,198 and 464,841 is: 692,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,198 : 464,841 = 464,841 : x
  2. Step 2: Convert to fraction form
    312,198/464,841 = 464,841/x
  3. Step 3: Cross multiply
    312,198x = 464,841 × 464,841
  4. Step 4: Simplify right side
    312,198x = 216,077,155,281
  5. Step 5: Solve for x
    x = 216,077,155,281/312,198
  6. Step 6: Final answer
    x = 692,115.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.