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Finding the Third Proportional to 51,788 and 77,655

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Solution

The third proportional to 51,788 and 77,655 is: 116,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,788 : 77,655 = 77,655 : x
  2. Step 2: Convert to fraction form
    51,788/77,655 = 77,655/x
  3. Step 3: Cross multiply
    51,788x = 77,655 × 77,655
  4. Step 4: Simplify right side
    51,788x = 6,030,299,025
  5. Step 5: Solve for x
    x = 6,030,299,025/51,788
  6. Step 6: Final answer
    x = 116,442.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.