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Finding the Third Proportional to 164,036 and 256,988

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Solution

The third proportional to 164,036 and 256,988 is: 402,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,036 : 256,988 = 256,988 : x
  2. Step 2: Convert to fraction form
    164,036/256,988 = 256,988/x
  3. Step 3: Cross multiply
    164,036x = 256,988 × 256,988
  4. Step 4: Simplify right side
    164,036x = 66,042,832,144
  5. Step 5: Solve for x
    x = 66,042,832,144/164,036
  6. Step 6: Final answer
    x = 402,611.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.