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Finding the Third Proportional to 76,106 and 121,539

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Solution

The third proportional to 76,106 and 121,539 is: 194,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,106 : 121,539 = 121,539 : x
  2. Step 2: Convert to fraction form
    76,106/121,539 = 121,539/x
  3. Step 3: Cross multiply
    76,106x = 121,539 × 121,539
  4. Step 4: Simplify right side
    76,106x = 14,771,728,521
  5. Step 5: Solve for x
    x = 14,771,728,521/76,106
  6. Step 6: Final answer
    x = 194,094.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.