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Finding the Third Proportional to 112,509 and 164,320

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Solution

The third proportional to 112,509 and 164,320 is: 239,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,509 : 164,320 = 164,320 : x
  2. Step 2: Convert to fraction form
    112,509/164,320 = 164,320/x
  3. Step 3: Cross multiply
    112,509x = 164,320 × 164,320
  4. Step 4: Simplify right side
    112,509x = 27,001,062,400
  5. Step 5: Solve for x
    x = 27,001,062,400/112,509
  6. Step 6: Final answer
    x = 239,990.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.