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Finding the Third Proportional to 642,609.50 and 1,395,841.50

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Solution

The third proportional to 642,609.50 and 1,395,841.50 is: 3,031,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,609.50 : 1,395,841.50 = 1,395,841.50 : x
  2. Step 2: Convert to fraction form
    642,609.50/1,395,841.50 = 1,395,841.50/x
  3. Step 3: Cross multiply
    642,609.50x = 1,395,841.50 × 1,395,841.50
  4. Step 4: Simplify right side
    642,609.50x = 1,948,373,493,122.25
  5. Step 5: Solve for x
    x = 1,948,373,493,122.25/642,609.50
  6. Step 6: Final answer
    x = 3,031,971.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.