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Finding the Third Proportional to 418,190.50 and 665,423

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Solution

The third proportional to 418,190.50 and 665,423 is: 1,058,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,190.50 : 665,423 = 665,423 : x
  2. Step 2: Convert to fraction form
    418,190.50/665,423 = 665,423/x
  3. Step 3: Cross multiply
    418,190.50x = 665,423 × 665,423
  4. Step 4: Simplify right side
    418,190.50x = 442,787,768,929
  5. Step 5: Solve for x
    x = 442,787,768,929/418,190.50
  6. Step 6: Final answer
    x = 1,058,818.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.