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Finding the Third Proportional to 513,105 and 1,187,709

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Solution

The third proportional to 513,105 and 1,187,709 is: 2,749,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,105 : 1,187,709 = 1,187,709 : x
  2. Step 2: Convert to fraction form
    513,105/1,187,709 = 1,187,709/x
  3. Step 3: Cross multiply
    513,105x = 1,187,709 × 1,187,709
  4. Step 4: Simplify right side
    513,105x = 1,410,652,668,681
  5. Step 5: Solve for x
    x = 1,410,652,668,681/513,105
  6. Step 6: Final answer
    x = 2,749,247.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.