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Finding the Third Proportional to 20,470 and 30,579

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Solution

The third proportional to 20,470 and 30,579 is: 45,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470 : 30,579 = 30,579 : x
  2. Step 2: Convert to fraction form
    20,470/30,579 = 30,579/x
  3. Step 3: Cross multiply
    20,470x = 30,579 × 30,579
  4. Step 4: Simplify right side
    20,470x = 935,075,241
  5. Step 5: Solve for x
    x = 935,075,241/20,470
  6. Step 6: Final answer
    x = 45,680.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.