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Finding the Third Proportional to 340,806 and 716,866

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Solution

The third proportional to 340,806 and 716,866 is: 1,507,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,806 : 716,866 = 716,866 : x
  2. Step 2: Convert to fraction form
    340,806/716,866 = 716,866/x
  3. Step 3: Cross multiply
    340,806x = 716,866 × 716,866
  4. Step 4: Simplify right side
    340,806x = 513,896,861,956
  5. Step 5: Solve for x
    x = 513,896,861,956/340,806
  6. Step 6: Final answer
    x = 1,507,886.78

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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.