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Finding the Third Proportional to 558,834 and 838,290

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Solution

The third proportional to 558,834 and 838,290 is: 1,257,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,834 : 838,290 = 838,290 : x
  2. Step 2: Convert to fraction form
    558,834/838,290 = 838,290/x
  3. Step 3: Cross multiply
    558,834x = 838,290 × 838,290
  4. Step 4: Simplify right side
    558,834x = 702,730,124,100
  5. Step 5: Solve for x
    x = 702,730,124,100/558,834
  6. Step 6: Final answer
    x = 1,257,493.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.