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Finding the Third Proportional to 75,329.76 and 102,307.39

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Solution

The third proportional to 75,329.76 and 102,307.39 is: 138,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,329.76 : 102,307.39 = 102,307.39 : x
  2. Step 2: Convert to fraction form
    75,329.76/102,307.39 = 102,307.39/x
  3. Step 3: Cross multiply
    75,329.76x = 102,307.39 × 102,307.39
  4. Step 4: Simplify right side
    75,329.76x = 10,466,802,076.59
  5. Step 5: Solve for x
    x = 10,466,802,076.59/75,329.76
  6. Step 6: Final answer
    x = 138,946.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.