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Finding the Third Proportional to 689,372 and 1,458,228

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Solution

The third proportional to 689,372 and 1,458,228 is: 3,084,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,372 : 1,458,228 = 1,458,228 : x
  2. Step 2: Convert to fraction form
    689,372/1,458,228 = 1,458,228/x
  3. Step 3: Cross multiply
    689,372x = 1,458,228 × 1,458,228
  4. Step 4: Simplify right side
    689,372x = 2,126,428,899,984
  5. Step 5: Solve for x
    x = 2,126,428,899,984/689,372
  6. Step 6: Final answer
    x = 3,084,588.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.