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Finding the Third Proportional to 163,929 and 253,170

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Solution

The third proportional to 163,929 and 253,170 is: 390,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,929 : 253,170 = 253,170 : x
  2. Step 2: Convert to fraction form
    163,929/253,170 = 253,170/x
  3. Step 3: Cross multiply
    163,929x = 253,170 × 253,170
  4. Step 4: Simplify right side
    163,929x = 64,095,048,900
  5. Step 5: Solve for x
    x = 64,095,048,900/163,929
  6. Step 6: Final answer
    x = 390,992.74

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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.