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Finding the Third Proportional to 331,536 and 715,488

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Solution

The third proportional to 331,536 and 715,488 is: 1,544,094.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,536 : 715,488 = 715,488 : x
  2. Step 2: Convert to fraction form
    331,536/715,488 = 715,488/x
  3. Step 3: Cross multiply
    331,536x = 715,488 × 715,488
  4. Step 4: Simplify right side
    331,536x = 511,923,078,144
  5. Step 5: Solve for x
    x = 511,923,078,144/331,536
  6. Step 6: Final answer
    x = 1,544,094.99

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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.