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Finding the Third Proportional to 390,102 and 522,945

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Solution

The third proportional to 390,102 and 522,945 is: 701,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,102 : 522,945 = 522,945 : x
  2. Step 2: Convert to fraction form
    390,102/522,945 = 522,945/x
  3. Step 3: Cross multiply
    390,102x = 522,945 × 522,945
  4. Step 4: Simplify right side
    390,102x = 273,471,473,025
  5. Step 5: Solve for x
    x = 273,471,473,025/390,102
  6. Step 6: Final answer
    x = 701,025.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.