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Finding the Third Proportional to 340,682 and 716,672

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Solution

The third proportional to 340,682 and 716,672 is: 1,507,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,682 : 716,672 = 716,672 : x
  2. Step 2: Convert to fraction form
    340,682/716,672 = 716,672/x
  3. Step 3: Cross multiply
    340,682x = 716,672 × 716,672
  4. Step 4: Simplify right side
    340,682x = 513,618,755,584
  5. Step 5: Solve for x
    x = 513,618,755,584/340,682
  6. Step 6: Final answer
    x = 1,507,619.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.