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Finding the Third Proportional to 63,720 and 135,030

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Solution

The third proportional to 63,720 and 135,030 is: 286,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,720 : 135,030 = 135,030 : x
  2. Step 2: Convert to fraction form
    63,720/135,030 = 135,030/x
  3. Step 3: Cross multiply
    63,720x = 135,030 × 135,030
  4. Step 4: Simplify right side
    63,720x = 18,233,100,900
  5. Step 5: Solve for x
    x = 18,233,100,900/63,720
  6. Step 6: Final answer
    x = 286,144.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.