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Finding the Third Proportional to 64,600 and 144,312

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Solution

The third proportional to 64,600 and 144,312 is: 322,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,600 : 144,312 = 144,312 : x
  2. Step 2: Convert to fraction form
    64,600/144,312 = 144,312/x
  3. Step 3: Cross multiply
    64,600x = 144,312 × 144,312
  4. Step 4: Simplify right side
    64,600x = 20,825,953,344
  5. Step 5: Solve for x
    x = 20,825,953,344/64,600
  6. Step 6: Final answer
    x = 322,383.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.