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Finding the Third Proportional to 260,038 and 412,605

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Solution

The third proportional to 260,038 and 412,605 is: 654,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038 : 412,605 = 412,605 : x
  2. Step 2: Convert to fraction form
    260,038/412,605 = 412,605/x
  3. Step 3: Cross multiply
    260,038x = 412,605 × 412,605
  4. Step 4: Simplify right side
    260,038x = 170,242,886,025
  5. Step 5: Solve for x
    x = 170,242,886,025/260,038
  6. Step 6: Final answer
    x = 654,684.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.