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Finding the Third Proportional to 21,577.64 and 47,077.45

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Solution

The third proportional to 21,577.64 and 47,077.45 is: 102,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.64 : 47,077.45 = 47,077.45 : x
  2. Step 2: Convert to fraction form
    21,577.64/47,077.45 = 47,077.45/x
  3. Step 3: Cross multiply
    21,577.64x = 47,077.45 × 47,077.45
  4. Step 4: Simplify right side
    21,577.64x = 2,216,286,592.74
  5. Step 5: Solve for x
    x = 2,216,286,592.74/21,577.64
  6. Step 6: Final answer
    x = 102,712.18

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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.