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Finding the Third Proportional to 258,543 and 558,594

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Solution

The third proportional to 258,543 and 558,594 is: 1,206,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,543 : 558,594 = 558,594 : x
  2. Step 2: Convert to fraction form
    258,543/558,594 = 558,594/x
  3. Step 3: Cross multiply
    258,543x = 558,594 × 558,594
  4. Step 4: Simplify right side
    258,543x = 312,027,256,836
  5. Step 5: Solve for x
    x = 312,027,256,836/258,543
  6. Step 6: Final answer
    x = 1,206,867.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.