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Finding the Third Proportional to 163,548 and 356,220

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Solution

The third proportional to 163,548 and 356,220 is: 775,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,548 : 356,220 = 356,220 : x
  2. Step 2: Convert to fraction form
    163,548/356,220 = 356,220/x
  3. Step 3: Cross multiply
    163,548x = 356,220 × 356,220
  4. Step 4: Simplify right side
    163,548x = 126,892,688,400
  5. Step 5: Solve for x
    x = 126,892,688,400/163,548
  6. Step 6: Final answer
    x = 775,874.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.