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Finding the Third Proportional to 69,364 and 163,640

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Solution

The third proportional to 69,364 and 163,640 is: 386,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,364 : 163,640 = 163,640 : x
  2. Step 2: Convert to fraction form
    69,364/163,640 = 163,640/x
  3. Step 3: Cross multiply
    69,364x = 163,640 × 163,640
  4. Step 4: Simplify right side
    69,364x = 26,778,049,600
  5. Step 5: Solve for x
    x = 26,778,049,600/69,364
  6. Step 6: Final answer
    x = 386,051.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.