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Finding the Third Proportional to 77,454 and 114,743

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Solution

The third proportional to 77,454 and 114,743 is: 169,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,454 : 114,743 = 114,743 : x
  2. Step 2: Convert to fraction form
    77,454/114,743 = 114,743/x
  3. Step 3: Cross multiply
    77,454x = 114,743 × 114,743
  4. Step 4: Simplify right side
    77,454x = 13,165,956,049
  5. Step 5: Solve for x
    x = 13,165,956,049/77,454
  6. Step 6: Final answer
    x = 169,984.20

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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.