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Finding the Third Proportional to 51,354 and 77,729.63

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Solution

The third proportional to 51,354 and 77,729.63 is: 117,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,354 : 77,729.63 = 77,729.63 : x
  2. Step 2: Convert to fraction form
    51,354/77,729.63 = 77,729.63/x
  3. Step 3: Cross multiply
    51,354x = 77,729.63 × 77,729.63
  4. Step 4: Simplify right side
    51,354x = 6,041,894,602.64
  5. Step 5: Solve for x
    x = 6,041,894,602.64/51,354
  6. Step 6: Final answer
    x = 117,651.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.