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Finding the Third Proportional to 164,038 and 256,991

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Solution

The third proportional to 164,038 and 256,991 is: 402,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,038 : 256,991 = 256,991 : x
  2. Step 2: Convert to fraction form
    164,038/256,991 = 256,991/x
  3. Step 3: Cross multiply
    164,038x = 256,991 × 256,991
  4. Step 4: Simplify right side
    164,038x = 66,044,374,081
  5. Step 5: Solve for x
    x = 66,044,374,081/164,038
  6. Step 6: Final answer
    x = 402,616.31

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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.