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Finding the Third Proportional to 395,313 and 866,808

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Solution

The third proportional to 395,313 and 866,808 is: 1,900,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,313 : 866,808 = 866,808 : x
  2. Step 2: Convert to fraction form
    395,313/866,808 = 866,808/x
  3. Step 3: Cross multiply
    395,313x = 866,808 × 866,808
  4. Step 4: Simplify right side
    395,313x = 751,356,108,864
  5. Step 5: Solve for x
    x = 751,356,108,864/395,313
  6. Step 6: Final answer
    x = 1,900,661.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.