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Finding the Third Proportional to 163,486 and 253,248

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Solution

The third proportional to 163,486 and 253,248 is: 392,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,486 : 253,248 = 253,248 : x
  2. Step 2: Convert to fraction form
    163,486/253,248 = 253,248/x
  3. Step 3: Cross multiply
    163,486x = 253,248 × 253,248
  4. Step 4: Simplify right side
    163,486x = 64,134,549,504
  5. Step 5: Solve for x
    x = 64,134,549,504/163,486
  6. Step 6: Final answer
    x = 392,293.83

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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.