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Finding the Third Proportional to 77,053 and 122,263

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Solution

The third proportional to 77,053 and 122,263 is: 193,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,053 : 122,263 = 122,263 : x
  2. Step 2: Convert to fraction form
    77,053/122,263 = 122,263/x
  3. Step 3: Cross multiply
    77,053x = 122,263 × 122,263
  4. Step 4: Simplify right side
    77,053x = 14,948,241,169
  5. Step 5: Solve for x
    x = 14,948,241,169/77,053
  6. Step 6: Final answer
    x = 193,999.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.