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Finding the Third Proportional to 1,242,445.50 and 2,709,807

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Solution

The third proportional to 1,242,445.50 and 2,709,807 is: 5,910,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,445.50 : 2,709,807 = 2,709,807 : x
  2. Step 2: Convert to fraction form
    1,242,445.50/2,709,807 = 2,709,807/x
  3. Step 3: Cross multiply
    1,242,445.50x = 2,709,807 × 2,709,807
  4. Step 4: Simplify right side
    1,242,445.50x = 7,343,053,977,249
  5. Step 5: Solve for x
    x = 7,343,053,977,249/1,242,445.50
  6. Step 6: Final answer
    x = 5,910,161.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.