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Finding the Third Proportional to 305,140.50 and 664,526

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Solution

The third proportional to 305,140.50 and 664,526 is: 1,447,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,140.50 : 664,526 = 664,526 : x
  2. Step 2: Convert to fraction form
    305,140.50/664,526 = 664,526/x
  3. Step 3: Cross multiply
    305,140.50x = 664,526 × 664,526
  4. Step 4: Simplify right side
    305,140.50x = 441,594,804,676
  5. Step 5: Solve for x
    x = 441,594,804,676/305,140.50
  6. Step 6: Final answer
    x = 1,447,185.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.