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Finding the Third Proportional to 75,429.75 and 103,905.38

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Solution

The third proportional to 75,429.75 and 103,905.38 is: 143,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,429.75 : 103,905.38 = 103,905.38 : x
  2. Step 2: Convert to fraction form
    75,429.75/103,905.38 = 103,905.38/x
  3. Step 3: Cross multiply
    75,429.75x = 103,905.38 × 103,905.38
  4. Step 4: Simplify right side
    75,429.75x = 10,796,326,953.89
  5. Step 5: Solve for x
    x = 10,796,326,953.89/75,429.75
  6. Step 6: Final answer
    x = 143,130.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.