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Finding the Third Proportional to 307,564 and 665,670

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Solution

The third proportional to 307,564 and 665,670 is: 1,440,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,564 : 665,670 = 665,670 : x
  2. Step 2: Convert to fraction form
    307,564/665,670 = 665,670/x
  3. Step 3: Cross multiply
    307,564x = 665,670 × 665,670
  4. Step 4: Simplify right side
    307,564x = 443,116,548,900
  5. Step 5: Solve for x
    x = 443,116,548,900/307,564
  6. Step 6: Final answer
    x = 1,440,729.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.