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Finding the Third Proportional to 720,416 and 1,667,633

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Solution

The third proportional to 720,416 and 1,667,633 is: 3,860,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,416 : 1,667,633 = 1,667,633 : x
  2. Step 2: Convert to fraction form
    720,416/1,667,633 = 1,667,633/x
  3. Step 3: Cross multiply
    720,416x = 1,667,633 × 1,667,633
  4. Step 4: Simplify right side
    720,416x = 2,780,999,822,689
  5. Step 5: Solve for x
    x = 2,780,999,822,689/720,416
  6. Step 6: Final answer
    x = 3,860,269.38

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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.