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Finding the Third Proportional to 164,344 and 253,478

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Solution

The third proportional to 164,344 and 253,478 is: 390,954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,344 : 253,478 = 253,478 : x
  2. Step 2: Convert to fraction form
    164,344/253,478 = 253,478/x
  3. Step 3: Cross multiply
    164,344x = 253,478 × 253,478
  4. Step 4: Simplify right side
    164,344x = 64,251,096,484
  5. Step 5: Solve for x
    x = 64,251,096,484/164,344
  6. Step 6: Final answer
    x = 390,954.93

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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.