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Finding the Third Proportional to 419,312 and 558,658

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Solution

The third proportional to 419,312 and 558,658 is: 744,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,312 : 558,658 = 558,658 : x
  2. Step 2: Convert to fraction form
    419,312/558,658 = 558,658/x
  3. Step 3: Cross multiply
    419,312x = 558,658 × 558,658
  4. Step 4: Simplify right side
    419,312x = 312,098,760,964
  5. Step 5: Solve for x
    x = 312,098,760,964/419,312
  6. Step 6: Final answer
    x = 744,311.54

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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.