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Finding the Third Proportional to 145,726 and 231,718

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Solution

The third proportional to 145,726 and 231,718 is: 368,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,726 : 231,718 = 231,718 : x
  2. Step 2: Convert to fraction form
    145,726/231,718 = 231,718/x
  3. Step 3: Cross multiply
    145,726x = 231,718 × 231,718
  4. Step 4: Simplify right side
    145,726x = 53,693,231,524
  5. Step 5: Solve for x
    x = 53,693,231,524/145,726
  6. Step 6: Final answer
    x = 368,453.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.