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Finding the Third Proportional to 403,434 and 869,112

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Solution

The third proportional to 403,434 and 869,112 is: 1,872,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,434 : 869,112 = 869,112 : x
  2. Step 2: Convert to fraction form
    403,434/869,112 = 869,112/x
  3. Step 3: Cross multiply
    403,434x = 869,112 × 869,112
  4. Step 4: Simplify right side
    403,434x = 755,355,668,544
  5. Step 5: Solve for x
    x = 755,355,668,544/403,434
  6. Step 6: Final answer
    x = 1,872,315.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.