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Finding the Third Proportional to 30.13 and 64.25

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Solution

The third proportional to 30.13 and 64.25 is: 137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.13 : 64.25 = 64.25 : x
  2. Step 2: Convert to fraction form
    30.13/64.25 = 64.25/x
  3. Step 3: Cross multiply
    30.13x = 64.25 × 64.25
  4. Step 4: Simplify right side
    30.13x = 4,128.06
  5. Step 5: Solve for x
    x = 4,128.06/30.13
  6. Step 6: Final answer
    x = 137.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.