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Finding the Third Proportional to 76,818 and 103,323

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Solution

The third proportional to 76,818 and 103,323 is: 138,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,818 : 103,323 = 103,323 : x
  2. Step 2: Convert to fraction form
    76,818/103,323 = 103,323/x
  3. Step 3: Cross multiply
    76,818x = 103,323 × 103,323
  4. Step 4: Simplify right side
    76,818x = 10,675,642,329
  5. Step 5: Solve for x
    x = 10,675,642,329/76,818
  6. Step 6: Final answer
    x = 138,973.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.