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Finding the Third Proportional to 51,645 and 76,506

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Solution

The third proportional to 51,645 and 76,506 is: 113,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,645 : 76,506 = 76,506 : x
  2. Step 2: Convert to fraction form
    51,645/76,506 = 76,506/x
  3. Step 3: Cross multiply
    51,645x = 76,506 × 76,506
  4. Step 4: Simplify right side
    51,645x = 5,853,168,036
  5. Step 5: Solve for x
    x = 5,853,168,036/51,645
  6. Step 6: Final answer
    x = 113,334.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.