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Finding the Third Proportional to 387,120 and 809,724

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Solution

The third proportional to 387,120 and 809,724 is: 1,693,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,120 : 809,724 = 809,724 : x
  2. Step 2: Convert to fraction form
    387,120/809,724 = 809,724/x
  3. Step 3: Cross multiply
    387,120x = 809,724 × 809,724
  4. Step 4: Simplify right side
    387,120x = 655,652,956,176
  5. Step 5: Solve for x
    x = 655,652,956,176/387,120
  6. Step 6: Final answer
    x = 1,693,668.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.