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Finding the Third Proportional to 316,082 and 685,732

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Solution

The third proportional to 316,082 and 685,732 is: 1,487,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,082 : 685,732 = 685,732 : x
  2. Step 2: Convert to fraction form
    316,082/685,732 = 685,732/x
  3. Step 3: Cross multiply
    316,082x = 685,732 × 685,732
  4. Step 4: Simplify right side
    316,082x = 470,228,375,824
  5. Step 5: Solve for x
    x = 470,228,375,824/316,082
  6. Step 6: Final answer
    x = 1,487,678.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.