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Finding the Third Proportional to 757,633 and 1,633,346

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Solution

The third proportional to 757,633 and 1,633,346 is: 3,521,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,633 : 1,633,346 = 1,633,346 : x
  2. Step 2: Convert to fraction form
    757,633/1,633,346 = 1,633,346/x
  3. Step 3: Cross multiply
    757,633x = 1,633,346 × 1,633,346
  4. Step 4: Simplify right side
    757,633x = 2,667,819,155,716
  5. Step 5: Solve for x
    x = 2,667,819,155,716/757,633
  6. Step 6: Final answer
    x = 3,521,255.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.