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Finding the Third Proportional to 30,388 and 65,636

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Solution

The third proportional to 30,388 and 65,636 is: 141,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,388 : 65,636 = 65,636 : x
  2. Step 2: Convert to fraction form
    30,388/65,636 = 65,636/x
  3. Step 3: Cross multiply
    30,388x = 65,636 × 65,636
  4. Step 4: Simplify right side
    30,388x = 4,308,084,496
  5. Step 5: Solve for x
    x = 4,308,084,496/30,388
  6. Step 6: Final answer
    x = 141,769.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.