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Finding the Third Proportional to 20,860 and 45,553

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Solution

The third proportional to 20,860 and 45,553 is: 99,476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,860 : 45,553 = 45,553 : x
  2. Step 2: Convert to fraction form
    20,860/45,553 = 45,553/x
  3. Step 3: Cross multiply
    20,860x = 45,553 × 45,553
  4. Step 4: Simplify right side
    20,860x = 2,075,075,809
  5. Step 5: Solve for x
    x = 2,075,075,809/20,860
  6. Step 6: Final answer
    x = 99,476.31

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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.