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Finding the Third Proportional to 64,875.75 and 139,755

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Solution

The third proportional to 64,875.75 and 139,755 is: 301,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,875.75 : 139,755 = 139,755 : x
  2. Step 2: Convert to fraction form
    64,875.75/139,755 = 139,755/x
  3. Step 3: Cross multiply
    64,875.75x = 139,755 × 139,755
  4. Step 4: Simplify right side
    64,875.75x = 19,531,460,025
  5. Step 5: Solve for x
    x = 19,531,460,025/64,875.75
  6. Step 6: Final answer
    x = 301,059.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.