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Finding the Third Proportional to 9,735,302.25 and 20,773,627.88

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Solution

The third proportional to 9,735,302.25 and 20,773,627.88 is: 44,327,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735,302.25 : 20,773,627.88 = 20,773,627.88 : x
  2. Step 2: Convert to fraction form
    9,735,302.25/20,773,627.88 = 20,773,627.88/x
  3. Step 3: Cross multiply
    9,735,302.25x = 20,773,627.88 × 20,773,627.88
  4. Step 4: Simplify right side
    9,735,302.25x = 431,543,615,088,977
  5. Step 5: Solve for x
    x = 431,543,615,088,977/9,735,302.25
  6. Step 6: Final answer
    x = 44,327,705.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.