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Finding the Third Proportional to 238,543 and 322,816

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Solution

The third proportional to 238,543 and 322,816 is: 436,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,543 : 322,816 = 322,816 : x
  2. Step 2: Convert to fraction form
    238,543/322,816 = 322,816/x
  3. Step 3: Cross multiply
    238,543x = 322,816 × 322,816
  4. Step 4: Simplify right side
    238,543x = 104,210,169,856
  5. Step 5: Solve for x
    x = 104,210,169,856/238,543
  6. Step 6: Final answer
    x = 436,861.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.