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Finding the Third Proportional to 437,489 and 625,603.50

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Solution

The third proportional to 437,489 and 625,603.50 is: 894,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,489 : 625,603.50 = 625,603.50 : x
  2. Step 2: Convert to fraction form
    437,489/625,603.50 = 625,603.50/x
  3. Step 3: Cross multiply
    437,489x = 625,603.50 × 625,603.50
  4. Step 4: Simplify right side
    437,489x = 391,379,739,212.25
  5. Step 5: Solve for x
    x = 391,379,739,212.25/437,489
  6. Step 6: Final answer
    x = 894,604.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.