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Finding the Third Proportional to 419,308 and 558,652

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Solution

The third proportional to 419,308 and 558,652 is: 744,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,308 : 558,652 = 558,652 : x
  2. Step 2: Convert to fraction form
    419,308/558,652 = 558,652/x
  3. Step 3: Cross multiply
    419,308x = 558,652 × 558,652
  4. Step 4: Simplify right side
    419,308x = 312,092,057,104
  5. Step 5: Solve for x
    x = 312,092,057,104/419,308
  6. Step 6: Final answer
    x = 744,302.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.