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Finding the Third Proportional to 307,041.75 and 666,269.25

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Solution

The third proportional to 307,041.75 and 666,269.25 is: 1,445,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,041.75 : 666,269.25 = 666,269.25 : x
  2. Step 2: Convert to fraction form
    307,041.75/666,269.25 = 666,269.25/x
  3. Step 3: Cross multiply
    307,041.75x = 666,269.25 × 666,269.25
  4. Step 4: Simplify right side
    307,041.75x = 443,914,713,495.56
  5. Step 5: Solve for x
    x = 443,914,713,495.56/307,041.75
  6. Step 6: Final answer
    x = 1,445,779.65

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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.