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Finding the Third Proportional to 125,484.75 and 272,200.50

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Solution

The third proportional to 125,484.75 and 272,200.50 is: 590,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,484.75 : 272,200.50 = 272,200.50 : x
  2. Step 2: Convert to fraction form
    125,484.75/272,200.50 = 272,200.50/x
  3. Step 3: Cross multiply
    125,484.75x = 272,200.50 × 272,200.50
  4. Step 4: Simplify right side
    125,484.75x = 74,093,112,200.25
  5. Step 5: Solve for x
    x = 74,093,112,200.25/125,484.75
  6. Step 6: Final answer
    x = 590,455.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.