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Finding the Third Proportional to 558,285.75 and 729,992.25

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Solution

The third proportional to 558,285.75 and 729,992.25 is: 954,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,285.75 : 729,992.25 = 729,992.25 : x
  2. Step 2: Convert to fraction form
    558,285.75/729,992.25 = 729,992.25/x
  3. Step 3: Cross multiply
    558,285.75x = 729,992.25 × 729,992.25
  4. Step 4: Simplify right side
    558,285.75x = 532,888,685,060.06
  5. Step 5: Solve for x
    x = 532,888,685,060.06/558,285.75
  6. Step 6: Final answer
    x = 954,508.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.