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Finding the Third Proportional to 361,026 and 561,282

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Solution

The third proportional to 361,026 and 561,282 is: 872,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,026 : 561,282 = 561,282 : x
  2. Step 2: Convert to fraction form
    361,026/561,282 = 561,282/x
  3. Step 3: Cross multiply
    361,026x = 561,282 × 561,282
  4. Step 4: Simplify right side
    361,026x = 315,037,483,524
  5. Step 5: Solve for x
    x = 315,037,483,524/361,026
  6. Step 6: Final answer
    x = 872,617.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.