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Finding the Third Proportional to 21,765 and 47,490

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Solution

The third proportional to 21,765 and 47,490 is: 103,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765 : 47,490 = 47,490 : x
  2. Step 2: Convert to fraction form
    21,765/47,490 = 47,490/x
  3. Step 3: Cross multiply
    21,765x = 47,490 × 47,490
  4. Step 4: Simplify right side
    21,765x = 2,255,300,100
  5. Step 5: Solve for x
    x = 2,255,300,100/21,765
  6. Step 6: Final answer
    x = 103,620.50

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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.