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Finding the Third Proportional to 30.19 and 62.50

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Solution

The third proportional to 30.19 and 62.50 is: 129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.19 : 62.50 = 62.50 : x
  2. Step 2: Convert to fraction form
    30.19/62.50 = 62.50/x
  3. Step 3: Cross multiply
    30.19x = 62.50 × 62.50
  4. Step 4: Simplify right side
    30.19x = 3,906.25
  5. Step 5: Solve for x
    x = 3,906.25/30.19
  6. Step 6: Final answer
    x = 129.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.