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Finding the Third Proportional to 438,047.75 and 640,441.25

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Solution

The third proportional to 438,047.75 and 640,441.25 is: 936,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,047.75 : 640,441.25 = 640,441.25 : x
  2. Step 2: Convert to fraction form
    438,047.75/640,441.25 = 640,441.25/x
  3. Step 3: Cross multiply
    438,047.75x = 640,441.25 × 640,441.25
  4. Step 4: Simplify right side
    438,047.75x = 410,164,994,701.56
  5. Step 5: Solve for x
    x = 410,164,994,701.56/438,047.75
  6. Step 6: Final answer
    x = 936,347.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.