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Finding the Third Proportional to 66,102.75 and 139,009.50

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Solution

The third proportional to 66,102.75 and 139,009.50 is: 292,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,102.75 : 139,009.50 = 139,009.50 : x
  2. Step 2: Convert to fraction form
    66,102.75/139,009.50 = 139,009.50/x
  3. Step 3: Cross multiply
    66,102.75x = 139,009.50 × 139,009.50
  4. Step 4: Simplify right side
    66,102.75x = 19,323,641,090.25
  5. Step 5: Solve for x
    x = 19,323,641,090.25/66,102.75
  6. Step 6: Final answer
    x = 292,327.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.