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Finding the Third Proportional to 320,186 and 690,028

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Solution

The third proportional to 320,186 and 690,028 is: 1,487,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,186 : 690,028 = 690,028 : x
  2. Step 2: Convert to fraction form
    320,186/690,028 = 690,028/x
  3. Step 3: Cross multiply
    320,186x = 690,028 × 690,028
  4. Step 4: Simplify right side
    320,186x = 476,138,640,784
  5. Step 5: Solve for x
    x = 476,138,640,784/320,186
  6. Step 6: Final answer
    x = 1,487,068.89

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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.