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Finding the Third Proportional to 56,164 and 122,888

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Solution

The third proportional to 56,164 and 122,888 is: 268,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,164 : 122,888 = 122,888 : x
  2. Step 2: Convert to fraction form
    56,164/122,888 = 122,888/x
  3. Step 3: Cross multiply
    56,164x = 122,888 × 122,888
  4. Step 4: Simplify right side
    56,164x = 15,101,460,544
  5. Step 5: Solve for x
    x = 15,101,460,544/56,164
  6. Step 6: Final answer
    x = 268,881.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.