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Finding the Third Proportional to 51,003 and 78,779

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Solution

The third proportional to 51,003 and 78,779 is: 121,681.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,003 : 78,779 = 78,779 : x
  2. Step 2: Convert to fraction form
    51,003/78,779 = 78,779/x
  3. Step 3: Cross multiply
    51,003x = 78,779 × 78,779
  4. Step 4: Simplify right side
    51,003x = 6,206,130,841
  5. Step 5: Solve for x
    x = 6,206,130,841/51,003
  6. Step 6: Final answer
    x = 121,681.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.