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Finding the Third Proportional to 145,555 and 231,455

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Solution

The third proportional to 145,555 and 231,455 is: 368,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,555 : 231,455 = 231,455 : x
  2. Step 2: Convert to fraction form
    145,555/231,455 = 231,455/x
  3. Step 3: Cross multiply
    145,555x = 231,455 × 231,455
  4. Step 4: Simplify right side
    145,555x = 53,571,417,025
  5. Step 5: Solve for x
    x = 53,571,417,025/145,555
  6. Step 6: Final answer
    x = 368,049.31

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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.