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Finding the Third Proportional to 62,622.75 and 128,312.25

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Solution

The third proportional to 62,622.75 and 128,312.25 is: 262,908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,622.75 : 128,312.25 = 128,312.25 : x
  2. Step 2: Convert to fraction form
    62,622.75/128,312.25 = 128,312.25/x
  3. Step 3: Cross multiply
    62,622.75x = 128,312.25 × 128,312.25
  4. Step 4: Simplify right side
    62,622.75x = 16,464,033,500.06
  5. Step 5: Solve for x
    x = 16,464,033,500.06/62,622.75
  6. Step 6: Final answer
    x = 262,908.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.