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Finding the Third Proportional to 387,100 and 580,818

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Solution

The third proportional to 387,100 and 580,818 is: 871,479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,100 : 580,818 = 580,818 : x
  2. Step 2: Convert to fraction form
    387,100/580,818 = 580,818/x
  3. Step 3: Cross multiply
    387,100x = 580,818 × 580,818
  4. Step 4: Simplify right side
    387,100x = 337,349,549,124
  5. Step 5: Solve for x
    x = 337,349,549,124/387,100
  6. Step 6: Final answer
    x = 871,479.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.