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Finding the Third Proportional to 331,698 and 719,712

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Solution

The third proportional to 331,698 and 719,712 is: 1,561,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,698 : 719,712 = 719,712 : x
  2. Step 2: Convert to fraction form
    331,698/719,712 = 719,712/x
  3. Step 3: Cross multiply
    331,698x = 719,712 × 719,712
  4. Step 4: Simplify right side
    331,698x = 517,985,362,944
  5. Step 5: Solve for x
    x = 517,985,362,944/331,698
  6. Step 6: Final answer
    x = 1,561,617.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.