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Finding the Third Proportional to 30,344 and 45,515

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Solution

The third proportional to 30,344 and 45,515 is: 68,271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344 : 45,515 = 45,515 : x
  2. Step 2: Convert to fraction form
    30,344/45,515 = 45,515/x
  3. Step 3: Cross multiply
    30,344x = 45,515 × 45,515
  4. Step 4: Simplify right side
    30,344x = 2,071,615,225
  5. Step 5: Solve for x
    x = 2,071,615,225/30,344
  6. Step 6: Final answer
    x = 68,271.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.