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Finding the Third Proportional to 310,659.75 and 668,857.50

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Solution

The third proportional to 310,659.75 and 668,857.50 is: 1,440,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,659.75 : 668,857.50 = 668,857.50 : x
  2. Step 2: Convert to fraction form
    310,659.75/668,857.50 = 668,857.50/x
  3. Step 3: Cross multiply
    310,659.75x = 668,857.50 × 668,857.50
  4. Step 4: Simplify right side
    310,659.75x = 447,370,355,306.25
  5. Step 5: Solve for x
    x = 447,370,355,306.25/310,659.75
  6. Step 6: Final answer
    x = 1,440,065.39

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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.