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Finding the Third Proportional to 164,321 and 253,727

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Solution

The third proportional to 164,321 and 253,727 is: 391,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,321 : 253,727 = 253,727 : x
  2. Step 2: Convert to fraction form
    164,321/253,727 = 253,727/x
  3. Step 3: Cross multiply
    164,321x = 253,727 × 253,727
  4. Step 4: Simplify right side
    164,321x = 64,377,390,529
  5. Step 5: Solve for x
    x = 64,377,390,529/164,321
  6. Step 6: Final answer
    x = 391,778.23

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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.