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Finding the Third Proportional to 163,910 and 253,142

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Solution

The third proportional to 163,910 and 253,142 is: 390,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,910 : 253,142 = 253,142 : x
  2. Step 2: Convert to fraction form
    163,910/253,142 = 253,142/x
  3. Step 3: Cross multiply
    163,910x = 253,142 × 253,142
  4. Step 4: Simplify right side
    163,910x = 64,080,872,164
  5. Step 5: Solve for x
    x = 64,080,872,164/163,910
  6. Step 6: Final answer
    x = 390,951.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.