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Finding the Third Proportional to 160,344 and 346,383

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Solution

The third proportional to 160,344 and 346,383 is: 748,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,344 : 346,383 = 346,383 : x
  2. Step 2: Convert to fraction form
    160,344/346,383 = 346,383/x
  3. Step 3: Cross multiply
    160,344x = 346,383 × 346,383
  4. Step 4: Simplify right side
    160,344x = 119,981,182,689
  5. Step 5: Solve for x
    x = 119,981,182,689/160,344
  6. Step 6: Final answer
    x = 748,273.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.