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Finding the Third Proportional to 331,018 and 708,690

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Solution

The third proportional to 331,018 and 708,690 is: 1,517,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,018 : 708,690 = 708,690 : x
  2. Step 2: Convert to fraction form
    331,018/708,690 = 708,690/x
  3. Step 3: Cross multiply
    331,018x = 708,690 × 708,690
  4. Step 4: Simplify right side
    331,018x = 502,241,516,100
  5. Step 5: Solve for x
    x = 502,241,516,100/331,018
  6. Step 6: Final answer
    x = 1,517,263.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.