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Finding the Third Proportional to 64,800 and 138,580.88

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Solution

The third proportional to 64,800 and 138,580.88 is: 296,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,800 : 138,580.88 = 138,580.88 : x
  2. Step 2: Convert to fraction form
    64,800/138,580.88 = 138,580.88/x
  3. Step 3: Cross multiply
    64,800x = 138,580.88 × 138,580.88
  4. Step 4: Simplify right side
    64,800x = 19,204,658,915.77
  5. Step 5: Solve for x
    x = 19,204,658,915.77/64,800
  6. Step 6: Final answer
    x = 296,368.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.