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Finding the Third Proportional to 211,078 and 310,982

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Solution

The third proportional to 211,078 and 310,982 is: 458,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,078 : 310,982 = 310,982 : x
  2. Step 2: Convert to fraction form
    211,078/310,982 = 310,982/x
  3. Step 3: Cross multiply
    211,078x = 310,982 × 310,982
  4. Step 4: Simplify right side
    211,078x = 96,709,804,324
  5. Step 5: Solve for x
    x = 96,709,804,324/211,078
  6. Step 6: Final answer
    x = 458,170.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.