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Finding the Third Proportional to 61,025.63 and 128,612.25

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Solution

The third proportional to 61,025.63 and 128,612.25 is: 271,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,025.63 : 128,612.25 = 128,612.25 : x
  2. Step 2: Convert to fraction form
    61,025.63/128,612.25 = 128,612.25/x
  3. Step 3: Cross multiply
    61,025.63x = 128,612.25 × 128,612.25
  4. Step 4: Simplify right side
    61,025.63x = 16,541,110,850.06
  5. Step 5: Solve for x
    x = 16,541,110,850.06/61,025.63
  6. Step 6: Final answer
    x = 271,051.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.