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Finding the Third Proportional to 3,479,828 and 5,323,746

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Solution

The third proportional to 3,479,828 and 5,323,746 is: 8,144,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479,828 : 5,323,746 = 5,323,746 : x
  2. Step 2: Convert to fraction form
    3,479,828/5,323,746 = 5,323,746/x
  3. Step 3: Cross multiply
    3,479,828x = 5,323,746 × 5,323,746
  4. Step 4: Simplify right side
    3,479,828x = 28,342,271,472,516
  5. Step 5: Solve for x
    x = 28,342,271,472,516/3,479,828
  6. Step 6: Final answer
    x = 8,144,733.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.