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Finding the Third Proportional to 30,219 and 65,459

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Solution

The third proportional to 30,219 and 65,459 is: 141,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219 : 65,459 = 65,459 : x
  2. Step 2: Convert to fraction form
    30,219/65,459 = 65,459/x
  3. Step 3: Cross multiply
    30,219x = 65,459 × 65,459
  4. Step 4: Simplify right side
    30,219x = 4,284,880,681
  5. Step 5: Solve for x
    x = 4,284,880,681/30,219
  6. Step 6: Final answer
    x = 141,794.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.