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Finding the Third Proportional to 77,152 and 120,239

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Solution

The third proportional to 77,152 and 120,239 is: 187,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,152 : 120,239 = 120,239 : x
  2. Step 2: Convert to fraction form
    77,152/120,239 = 120,239/x
  3. Step 3: Cross multiply
    77,152x = 120,239 × 120,239
  4. Step 4: Simplify right side
    77,152x = 14,457,417,121
  5. Step 5: Solve for x
    x = 14,457,417,121/77,152
  6. Step 6: Final answer
    x = 187,388.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.