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Finding the Third Proportional to 315,021 and 475,103

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Solution

The third proportional to 315,021 and 475,103 is: 716,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,021 : 475,103 = 475,103 : x
  2. Step 2: Convert to fraction form
    315,021/475,103 = 475,103/x
  3. Step 3: Cross multiply
    315,021x = 475,103 × 475,103
  4. Step 4: Simplify right side
    315,021x = 225,722,860,609
  5. Step 5: Solve for x
    x = 225,722,860,609/315,021
  6. Step 6: Final answer
    x = 716,532.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.