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Finding the Third Proportional to 66,025 and 128,742.50

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Solution

The third proportional to 66,025 and 128,742.50 is: 251,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,025 : 128,742.50 = 128,742.50 : x
  2. Step 2: Convert to fraction form
    66,025/128,742.50 = 128,742.50/x
  3. Step 3: Cross multiply
    66,025x = 128,742.50 × 128,742.50
  4. Step 4: Simplify right side
    66,025x = 16,574,631,306.25
  5. Step 5: Solve for x
    x = 16,574,631,306.25/66,025
  6. Step 6: Final answer
    x = 251,035.69

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.