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Finding the Third Proportional to 69,145.21 and 106,788.69

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Solution

The third proportional to 69,145.21 and 106,788.69 is: 164,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,145.21 : 106,788.69 = 106,788.69 : x
  2. Step 2: Convert to fraction form
    69,145.21/106,788.69 = 106,788.69/x
  3. Step 3: Cross multiply
    69,145.21x = 106,788.69 × 106,788.69
  4. Step 4: Simplify right side
    69,145.21x = 11,403,824,612.26
  5. Step 5: Solve for x
    x = 11,403,824,612.26/69,145.21
  6. Step 6: Final answer
    x = 164,925.74

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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.