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Finding the Third Proportional to 331,355 and 715,044

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Solution

The third proportional to 331,355 and 715,044 is: 1,543,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,355 : 715,044 = 715,044 : x
  2. Step 2: Convert to fraction form
    331,355/715,044 = 715,044/x
  3. Step 3: Cross multiply
    331,355x = 715,044 × 715,044
  4. Step 4: Simplify right side
    331,355x = 511,287,921,936
  5. Step 5: Solve for x
    x = 511,287,921,936/331,355
  6. Step 6: Final answer
    x = 1,543,021.60

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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.