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Finding the Third Proportional to 438,047.25 and 640,440.56

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Solution

The third proportional to 438,047.25 and 640,440.56 is: 936,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,047.25 : 640,440.56 = 640,440.56 : x
  2. Step 2: Convert to fraction form
    438,047.25/640,440.56 = 640,440.56/x
  3. Step 3: Cross multiply
    438,047.25x = 640,440.56 × 640,440.56
  4. Step 4: Simplify right side
    438,047.25x = 410,164,114,095.32
  5. Step 5: Solve for x
    x = 410,164,114,095.32/438,047.25
  6. Step 6: Final answer
    x = 936,346.74

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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.