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Finding the Third Proportional to 306,007.50 and 666,453

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Solution

The third proportional to 306,007.50 and 666,453 is: 1,451,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,007.50 : 666,453 = 666,453 : x
  2. Step 2: Convert to fraction form
    306,007.50/666,453 = 666,453/x
  3. Step 3: Cross multiply
    306,007.50x = 666,453 × 666,453
  4. Step 4: Simplify right side
    306,007.50x = 444,159,601,209
  5. Step 5: Solve for x
    x = 444,159,601,209/306,007.50
  6. Step 6: Final answer
    x = 1,451,466.39

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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.