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Finding the Third Proportional to 64,455.75 and 138,432.38

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Solution

The third proportional to 64,455.75 and 138,432.38 is: 297,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,455.75 : 138,432.38 = 138,432.38 : x
  2. Step 2: Convert to fraction form
    64,455.75/138,432.38 = 138,432.38/x
  3. Step 3: Cross multiply
    64,455.75x = 138,432.38 × 138,432.38
  4. Step 4: Simplify right side
    64,455.75x = 19,163,522,448.14
  5. Step 5: Solve for x
    x = 19,163,522,448.14/64,455.75
  6. Step 6: Final answer
    x = 297,312.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.