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Finding the Third Proportional to 30,564 and 62,636

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Solution

The third proportional to 30,564 and 62,636 is: 128,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564 : 62,636 = 62,636 : x
  2. Step 2: Convert to fraction form
    30,564/62,636 = 62,636/x
  3. Step 3: Cross multiply
    30,564x = 62,636 × 62,636
  4. Step 4: Simplify right side
    30,564x = 3,923,268,496
  5. Step 5: Solve for x
    x = 3,923,268,496/30,564
  6. Step 6: Final answer
    x = 128,362.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.