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Finding the Third Proportional to 77,072 and 122,072

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Solution

The third proportional to 77,072 and 122,072 is: 193,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,072 : 122,072 = 122,072 : x
  2. Step 2: Convert to fraction form
    77,072/122,072 = 122,072/x
  3. Step 3: Cross multiply
    77,072x = 122,072 × 122,072
  4. Step 4: Simplify right side
    77,072x = 14,901,573,184
  5. Step 5: Solve for x
    x = 14,901,573,184/77,072
  6. Step 6: Final answer
    x = 193,346.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.