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Finding the Third Proportional to 51,303 and 77,103

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Solution

The third proportional to 51,303 and 77,103 is: 115,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,303 : 77,103 = 77,103 : x
  2. Step 2: Convert to fraction form
    51,303/77,103 = 77,103/x
  3. Step 3: Cross multiply
    51,303x = 77,103 × 77,103
  4. Step 4: Simplify right side
    51,303x = 5,944,872,609
  5. Step 5: Solve for x
    x = 5,944,872,609/51,303
  6. Step 6: Final answer
    x = 115,877.68

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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.