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Finding the Third Proportional to 149,935 and 310,480.50

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Solution

The third proportional to 149,935 and 310,480.50 is: 642,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,935 : 310,480.50 = 310,480.50 : x
  2. Step 2: Convert to fraction form
    149,935/310,480.50 = 310,480.50/x
  3. Step 3: Cross multiply
    149,935x = 310,480.50 × 310,480.50
  4. Step 4: Simplify right side
    149,935x = 96,398,140,880.25
  5. Step 5: Solve for x
    x = 96,398,140,880.25/149,935
  6. Step 6: Final answer
    x = 642,932.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.