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Finding the Third Proportional to 157,796 and 340,864

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Solution

The third proportional to 157,796 and 340,864 is: 736,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,796 : 340,864 = 340,864 : x
  2. Step 2: Convert to fraction form
    157,796/340,864 = 340,864/x
  3. Step 3: Cross multiply
    157,796x = 340,864 × 340,864
  4. Step 4: Simplify right side
    157,796x = 116,188,266,496
  5. Step 5: Solve for x
    x = 116,188,266,496/157,796
  6. Step 6: Final answer
    x = 736,319.47

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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.