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Finding the Third Proportional to 331,131 and 701,709

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Solution

The third proportional to 331,131 and 701,709 is: 1,487,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,131 : 701,709 = 701,709 : x
  2. Step 2: Convert to fraction form
    331,131/701,709 = 701,709/x
  3. Step 3: Cross multiply
    331,131x = 701,709 × 701,709
  4. Step 4: Simplify right side
    331,131x = 492,395,520,681
  5. Step 5: Solve for x
    x = 492,395,520,681/331,131
  6. Step 6: Final answer
    x = 1,487,011.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.