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Finding the Third Proportional to 558,998 and 790,221

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Solution

The third proportional to 558,998 and 790,221 is: 1,117,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,998 : 790,221 = 790,221 : x
  2. Step 2: Convert to fraction form
    558,998/790,221 = 790,221/x
  3. Step 3: Cross multiply
    558,998x = 790,221 × 790,221
  4. Step 4: Simplify right side
    558,998x = 624,449,228,841
  5. Step 5: Solve for x
    x = 624,449,228,841/558,998
  6. Step 6: Final answer
    x = 1,117,086.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.