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Finding the Third Proportional to 9,642,546.60 and 20,592,821.43

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Solution

The third proportional to 9,642,546.60 and 20,592,821.43 is: 43,978,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642,546.60 : 20,592,821.43 = 20,592,821.43 : x
  2. Step 2: Convert to fraction form
    9,642,546.60/20,592,821.43 = 20,592,821.43/x
  3. Step 3: Cross multiply
    9,642,546.60x = 20,592,821.43 × 20,592,821.43
  4. Step 4: Simplify right side
    9,642,546.60x = 424,064,294,274,146.12
  5. Step 5: Solve for x
    x = 424,064,294,274,146.12/9,642,546.60
  6. Step 6: Final answer
    x = 43,978,454.24

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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.