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Finding the Third Proportional to 163,140 and 361,218

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Solution

The third proportional to 163,140 and 361,218 is: 799,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,140 : 361,218 = 361,218 : x
  2. Step 2: Convert to fraction form
    163,140/361,218 = 361,218/x
  3. Step 3: Cross multiply
    163,140x = 361,218 × 361,218
  4. Step 4: Simplify right side
    163,140x = 130,478,443,524
  5. Step 5: Solve for x
    x = 130,478,443,524/163,140
  6. Step 6: Final answer
    x = 799,794.31

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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.