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Finding the Third Proportional to 310,263.54 and 668,025.98

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Solution

The third proportional to 310,263.54 and 668,025.98 is: 1,438,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,263.54 : 668,025.98 = 668,025.98 : x
  2. Step 2: Convert to fraction form
    310,263.54/668,025.98 = 668,025.98/x
  3. Step 3: Cross multiply
    310,263.54x = 668,025.98 × 668,025.98
  4. Step 4: Simplify right side
    310,263.54x = 446,258,715,800.19
  5. Step 5: Solve for x
    x = 446,258,715,800.19/310,263.54
  6. Step 6: Final answer
    x = 1,438,321.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.