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Finding the Third Proportional to 393,796 and 859,772

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Solution

The third proportional to 393,796 and 859,772 is: 1,877,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,796 : 859,772 = 859,772 : x
  2. Step 2: Convert to fraction form
    393,796/859,772 = 859,772/x
  3. Step 3: Cross multiply
    393,796x = 859,772 × 859,772
  4. Step 4: Simplify right side
    393,796x = 739,207,891,984
  5. Step 5: Solve for x
    x = 739,207,891,984/393,796
  6. Step 6: Final answer
    x = 1,877,134.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.