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Finding the Third Proportional to 30,449 and 66,417

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Solution

The third proportional to 30,449 and 66,417 is: 144,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449 : 66,417 = 66,417 : x
  2. Step 2: Convert to fraction form
    30,449/66,417 = 66,417/x
  3. Step 3: Cross multiply
    30,449x = 66,417 × 66,417
  4. Step 4: Simplify right side
    30,449x = 4,411,217,889
  5. Step 5: Solve for x
    x = 4,411,217,889/30,449
  6. Step 6: Final answer
    x = 144,872.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.