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Finding the Third Proportional to 64,587 and 139,366

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Solution

The third proportional to 64,587 and 139,366 is: 300,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,587 : 139,366 = 139,366 : x
  2. Step 2: Convert to fraction form
    64,587/139,366 = 139,366/x
  3. Step 3: Cross multiply
    64,587x = 139,366 × 139,366
  4. Step 4: Simplify right side
    64,587x = 19,422,881,956
  5. Step 5: Solve for x
    x = 19,422,881,956/64,587
  6. Step 6: Final answer
    x = 300,724.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.