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Finding the Third Proportional to 616,910 and 1,428,035

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Solution

The third proportional to 616,910 and 1,428,035 is: 3,305,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,910 : 1,428,035 = 1,428,035 : x
  2. Step 2: Convert to fraction form
    616,910/1,428,035 = 1,428,035/x
  3. Step 3: Cross multiply
    616,910x = 1,428,035 × 1,428,035
  4. Step 4: Simplify right side
    616,910x = 2,039,283,961,225
  5. Step 5: Solve for x
    x = 2,039,283,961,225/616,910
  6. Step 6: Final answer
    x = 3,305,642.58

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.