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Finding the Third Proportional to 21,306 and 45,546

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Solution

The third proportional to 21,306 and 45,546 is: 97,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306 : 45,546 = 45,546 : x
  2. Step 2: Convert to fraction form
    21,306/45,546 = 45,546/x
  3. Step 3: Cross multiply
    21,306x = 45,546 × 45,546
  4. Step 4: Simplify right side
    21,306x = 2,074,438,116
  5. Step 5: Solve for x
    x = 2,074,438,116/21,306
  6. Step 6: Final answer
    x = 97,364.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.