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Finding the Third Proportional to 64,746 and 140,913

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Solution

The third proportional to 64,746 and 140,913 is: 306,682.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,746 : 140,913 = 140,913 : x
  2. Step 2: Convert to fraction form
    64,746/140,913 = 140,913/x
  3. Step 3: Cross multiply
    64,746x = 140,913 × 140,913
  4. Step 4: Simplify right side
    64,746x = 19,856,473,569
  5. Step 5: Solve for x
    x = 19,856,473,569/64,746
  6. Step 6: Final answer
    x = 306,682.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.