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Finding the Third Proportional to 200,410 and 310,577

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Solution

The third proportional to 200,410 and 310,577 is: 481,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,410 : 310,577 = 310,577 : x
  2. Step 2: Convert to fraction form
    200,410/310,577 = 310,577/x
  3. Step 3: Cross multiply
    200,410x = 310,577 × 310,577
  4. Step 4: Simplify right side
    200,410x = 96,458,072,929
  5. Step 5: Solve for x
    x = 96,458,072,929/200,410
  6. Step 6: Final answer
    x = 481,303.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.