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Finding the Third Proportional to 558,229 and 1,210,979

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Solution

The third proportional to 558,229 and 1,210,979 is: 2,627,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,229 : 1,210,979 = 1,210,979 : x
  2. Step 2: Convert to fraction form
    558,229/1,210,979 = 1,210,979/x
  3. Step 3: Cross multiply
    558,229x = 1,210,979 × 1,210,979
  4. Step 4: Simplify right side
    558,229x = 1,466,470,138,441
  5. Step 5: Solve for x
    x = 1,466,470,138,441/558,229
  6. Step 6: Final answer
    x = 2,627,004.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.