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Finding the Third Proportional to 61,664.25 and 128,188.50

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Solution

The third proportional to 61,664.25 and 128,188.50 is: 266,480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,664.25 : 128,188.50 = 128,188.50 : x
  2. Step 2: Convert to fraction form
    61,664.25/128,188.50 = 128,188.50/x
  3. Step 3: Cross multiply
    61,664.25x = 128,188.50 × 128,188.50
  4. Step 4: Simplify right side
    61,664.25x = 16,432,291,532.25
  5. Step 5: Solve for x
    x = 16,432,291,532.25/61,664.25
  6. Step 6: Final answer
    x = 266,480.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.