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Finding the Third Proportional to 361,820 and 531,878

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Solution

The third proportional to 361,820 and 531,878 is: 781,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,820 : 531,878 = 531,878 : x
  2. Step 2: Convert to fraction form
    361,820/531,878 = 531,878/x
  3. Step 3: Cross multiply
    361,820x = 531,878 × 531,878
  4. Step 4: Simplify right side
    361,820x = 282,894,206,884
  5. Step 5: Solve for x
    x = 282,894,206,884/361,820
  6. Step 6: Final answer
    x = 781,864.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.