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Finding the Third Proportional to 418,188.50 and 665,420

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Solution

The third proportional to 418,188.50 and 665,420 is: 1,058,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,188.50 : 665,420 = 665,420 : x
  2. Step 2: Convert to fraction form
    418,188.50/665,420 = 665,420/x
  3. Step 3: Cross multiply
    418,188.50x = 665,420 × 665,420
  4. Step 4: Simplify right side
    418,188.50x = 442,783,776,400
  5. Step 5: Solve for x
    x = 442,783,776,400/418,188.50
  6. Step 6: Final answer
    x = 1,058,813.85

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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.