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Finding the Third Proportional to 64,820 and 138,856

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Solution

The third proportional to 64,820 and 138,856 is: 297,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,820 : 138,856 = 138,856 : x
  2. Step 2: Convert to fraction form
    64,820/138,856 = 138,856/x
  3. Step 3: Cross multiply
    64,820x = 138,856 × 138,856
  4. Step 4: Simplify right side
    64,820x = 19,280,988,736
  5. Step 5: Solve for x
    x = 19,280,988,736/64,820
  6. Step 6: Final answer
    x = 297,454.32

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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.