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Finding the Third Proportional to 386,568 and 565,020

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Solution

The third proportional to 386,568 and 565,020 is: 825,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,568 : 565,020 = 565,020 : x
  2. Step 2: Convert to fraction form
    386,568/565,020 = 565,020/x
  3. Step 3: Cross multiply
    386,568x = 565,020 × 565,020
  4. Step 4: Simplify right side
    386,568x = 319,247,600,400
  5. Step 5: Solve for x
    x = 319,247,600,400/386,568
  6. Step 6: Final answer
    x = 825,851.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.