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Finding the Third Proportional to 331,145 and 715,224

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Solution

The third proportional to 331,145 and 715,224 is: 1,544,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,145 : 715,224 = 715,224 : x
  2. Step 2: Convert to fraction form
    331,145/715,224 = 715,224/x
  3. Step 3: Cross multiply
    331,145x = 715,224 × 715,224
  4. Step 4: Simplify right side
    331,145x = 511,545,370,176
  5. Step 5: Solve for x
    x = 511,545,370,176/331,145
  6. Step 6: Final answer
    x = 1,544,777.58

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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.