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Finding the Third Proportional to 305,320.50 and 668,961

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Solution

The third proportional to 305,320.50 and 668,961 is: 1,465,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,320.50 : 668,961 = 668,961 : x
  2. Step 2: Convert to fraction form
    305,320.50/668,961 = 668,961/x
  3. Step 3: Cross multiply
    305,320.50x = 668,961 × 668,961
  4. Step 4: Simplify right side
    305,320.50x = 447,508,819,521
  5. Step 5: Solve for x
    x = 447,508,819,521/305,320.50
  6. Step 6: Final answer
    x = 1,465,701.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.