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Finding the Third Proportional to 162,816 and 257,336

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Solution

The third proportional to 162,816 and 257,336 is: 406,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,816 : 257,336 = 257,336 : x
  2. Step 2: Convert to fraction form
    162,816/257,336 = 257,336/x
  3. Step 3: Cross multiply
    162,816x = 257,336 × 257,336
  4. Step 4: Simplify right side
    162,816x = 66,221,816,896
  5. Step 5: Solve for x
    x = 66,221,816,896/162,816
  6. Step 6: Final answer
    x = 406,727.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.