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Finding the Third Proportional to 442,975.50 and 669,748.50

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Solution

The third proportional to 442,975.50 and 669,748.50 is: 1,012,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,975.50 : 669,748.50 = 669,748.50 : x
  2. Step 2: Convert to fraction form
    442,975.50/669,748.50 = 669,748.50/x
  3. Step 3: Cross multiply
    442,975.50x = 669,748.50 × 669,748.50
  4. Step 4: Simplify right side
    442,975.50x = 448,563,053,252.25
  5. Step 5: Solve for x
    x = 448,563,053,252.25/442,975.50
  6. Step 6: Final answer
    x = 1,012,613.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.