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Finding the Third Proportional to 163,494 and 253,260

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Solution

The third proportional to 163,494 and 253,260 is: 392,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,494 : 253,260 = 253,260 : x
  2. Step 2: Convert to fraction form
    163,494/253,260 = 253,260/x
  3. Step 3: Cross multiply
    163,494x = 253,260 × 253,260
  4. Step 4: Simplify right side
    163,494x = 64,140,627,600
  5. Step 5: Solve for x
    x = 64,140,627,600/163,494
  6. Step 6: Final answer
    x = 392,311.81

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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.