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Finding the Third Proportional to 331,615 and 710,545

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Solution

The third proportional to 331,615 and 710,545 is: 1,522,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,615 : 710,545 = 710,545 : x
  2. Step 2: Convert to fraction form
    331,615/710,545 = 710,545/x
  3. Step 3: Cross multiply
    331,615x = 710,545 × 710,545
  4. Step 4: Simplify right side
    331,615x = 504,874,197,025
  5. Step 5: Solve for x
    x = 504,874,197,025/331,615
  6. Step 6: Final answer
    x = 1,522,470.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.