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Finding the Third Proportional to 29,906 and 64,816

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Solution

The third proportional to 29,906 and 64,816 is: 140,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906 : 64,816 = 64,816 : x
  2. Step 2: Convert to fraction form
    29,906/64,816 = 64,816/x
  3. Step 3: Cross multiply
    29,906x = 64,816 × 64,816
  4. Step 4: Simplify right side
    29,906x = 4,201,113,856
  5. Step 5: Solve for x
    x = 4,201,113,856/29,906
  6. Step 6: Final answer
    x = 140,477.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.