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Finding the Third Proportional to 163,131 and 361,257

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Solution

The third proportional to 163,131 and 361,257 is: 800,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,131 : 361,257 = 361,257 : x
  2. Step 2: Convert to fraction form
    163,131/361,257 = 361,257/x
  3. Step 3: Cross multiply
    163,131x = 361,257 × 361,257
  4. Step 4: Simplify right side
    163,131x = 130,506,620,049
  5. Step 5: Solve for x
    x = 130,506,620,049/163,131
  6. Step 6: Final answer
    x = 800,011.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.