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Finding the Third Proportional to 164,288 and 253,686

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Solution

The third proportional to 164,288 and 253,686 is: 391,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,288 : 253,686 = 253,686 : x
  2. Step 2: Convert to fraction form
    164,288/253,686 = 253,686/x
  3. Step 3: Cross multiply
    164,288x = 253,686 × 253,686
  4. Step 4: Simplify right side
    164,288x = 64,356,586,596
  5. Step 5: Solve for x
    x = 64,356,586,596/164,288
  6. Step 6: Final answer
    x = 391,730.29

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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.