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Finding the Third Proportional to 164,396 and 253,520

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Solution

The third proportional to 164,396 and 253,520 is: 390,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,396 : 253,520 = 253,520 : x
  2. Step 2: Convert to fraction form
    164,396/253,520 = 253,520/x
  3. Step 3: Cross multiply
    164,396x = 253,520 × 253,520
  4. Step 4: Simplify right side
    164,396x = 64,272,390,400
  5. Step 5: Solve for x
    x = 64,272,390,400/164,396
  6. Step 6: Final answer
    x = 390,960.79

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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.