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Finding the Third Proportional to 259,020 and 400,032

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Solution

The third proportional to 259,020 and 400,032 is: 617,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,020 : 400,032 = 400,032 : x
  2. Step 2: Convert to fraction form
    259,020/400,032 = 400,032/x
  3. Step 3: Cross multiply
    259,020x = 400,032 × 400,032
  4. Step 4: Simplify right side
    259,020x = 160,025,601,024
  5. Step 5: Solve for x
    x = 160,025,601,024/259,020
  6. Step 6: Final answer
    x = 617,811.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.