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Finding the Third Proportional to 3,575,853.75 and 7,831,920.38

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Solution

The third proportional to 3,575,853.75 and 7,831,920.38 is: 17,153,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575,853.75 : 7,831,920.38 = 7,831,920.38 : x
  2. Step 2: Convert to fraction form
    3,575,853.75/7,831,920.38 = 7,831,920.38/x
  3. Step 3: Cross multiply
    3,575,853.75x = 7,831,920.38 × 7,831,920.38
  4. Step 4: Simplify right side
    3,575,853.75x = 61,338,976,760,340.14
  5. Step 5: Solve for x
    x = 61,338,976,760,340.14/3,575,853.75
  6. Step 6: Final answer
    x = 17,153,659.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.