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Finding the Third Proportional to 30,204.75 and 64,782.75

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Solution

The third proportional to 30,204.75 and 64,782.75 is: 138,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.75 : 64,782.75 = 64,782.75 : x
  2. Step 2: Convert to fraction form
    30,204.75/64,782.75 = 64,782.75/x
  3. Step 3: Cross multiply
    30,204.75x = 64,782.75 × 64,782.75
  4. Step 4: Simplify right side
    30,204.75x = 4,196,804,697.56
  5. Step 5: Solve for x
    x = 4,196,804,697.56/30,204.75
  6. Step 6: Final answer
    x = 138,945.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.