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Finding the Third Proportional to 303,207.50 and 660,212.50

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Solution

The third proportional to 303,207.50 and 660,212.50 is: 1,437,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,207.50 : 660,212.50 = 660,212.50 : x
  2. Step 2: Convert to fraction form
    303,207.50/660,212.50 = 660,212.50/x
  3. Step 3: Cross multiply
    303,207.50x = 660,212.50 × 660,212.50
  4. Step 4: Simplify right side
    303,207.50x = 435,880,545,156.25
  5. Step 5: Solve for x
    x = 435,880,545,156.25/303,207.50
  6. Step 6: Final answer
    x = 1,437,565.18

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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.