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Finding the Third Proportional to 1,546,573.50 and 3,395,742

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Solution

The third proportional to 1,546,573.50 and 3,395,742 is: 7,455,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,573.50 : 3,395,742 = 3,395,742 : x
  2. Step 2: Convert to fraction form
    1,546,573.50/3,395,742 = 3,395,742/x
  3. Step 3: Cross multiply
    1,546,573.50x = 3,395,742 × 3,395,742
  4. Step 4: Simplify right side
    1,546,573.50x = 11,531,063,730,564
  5. Step 5: Solve for x
    x = 11,531,063,730,564/1,546,573.50
  6. Step 6: Final answer
    x = 7,455,878.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.