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Finding the Third Proportional to 613,056 and 910,836

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Solution

The third proportional to 613,056 and 910,836 is: 1,353,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,056 : 910,836 = 910,836 : x
  2. Step 2: Convert to fraction form
    613,056/910,836 = 910,836/x
  3. Step 3: Cross multiply
    613,056x = 910,836 × 910,836
  4. Step 4: Simplify right side
    613,056x = 829,622,218,896
  5. Step 5: Solve for x
    x = 829,622,218,896/613,056
  6. Step 6: Final answer
    x = 1,353,256.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.