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Finding the Third Proportional to 164,338 and 253,469

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Solution

The third proportional to 164,338 and 253,469 is: 390,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,338 : 253,469 = 253,469 : x
  2. Step 2: Convert to fraction form
    164,338/253,469 = 253,469/x
  3. Step 3: Cross multiply
    164,338x = 253,469 × 253,469
  4. Step 4: Simplify right side
    164,338x = 64,246,533,961
  5. Step 5: Solve for x
    x = 64,246,533,961/164,338
  6. Step 6: Final answer
    x = 390,941.44

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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.