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Finding the Third Proportional to 443,342.50 and 669,670

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Solution

The third proportional to 443,342.50 and 669,670 is: 1,011,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,342.50 : 669,670 = 669,670 : x
  2. Step 2: Convert to fraction form
    443,342.50/669,670 = 669,670/x
  3. Step 3: Cross multiply
    443,342.50x = 669,670 × 669,670
  4. Step 4: Simplify right side
    443,342.50x = 448,457,908,900
  5. Step 5: Solve for x
    x = 448,457,908,900/443,342.50
  6. Step 6: Final answer
    x = 1,011,538.28

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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.