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Finding the Third Proportional to 265,902.75 and 422,830.13

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Solution

The third proportional to 265,902.75 and 422,830.13 is: 672,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,902.75 : 422,830.13 = 422,830.13 : x
  2. Step 2: Convert to fraction form
    265,902.75/422,830.13 = 422,830.13/x
  3. Step 3: Cross multiply
    265,902.75x = 422,830.13 × 422,830.13
  4. Step 4: Simplify right side
    265,902.75x = 178,785,314,607.52
  5. Step 5: Solve for x
    x = 178,785,314,607.52/265,902.75
  6. Step 6: Final answer
    x = 672,371.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.