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Finding the Third Proportional to 642,574.27 and 1,411,242.75

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Solution

The third proportional to 642,574.27 and 1,411,242.75 is: 3,099,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,574.27 : 1,411,242.75 = 1,411,242.75 : x
  2. Step 2: Convert to fraction form
    642,574.27/1,411,242.75 = 1,411,242.75/x
  3. Step 3: Cross multiply
    642,574.27x = 1,411,242.75 × 1,411,242.75
  4. Step 4: Simplify right side
    642,574.27x = 1,991,606,099,427.56
  5. Step 5: Solve for x
    x = 1,991,606,099,427.56/642,574.27
  6. Step 6: Final answer
    x = 3,099,417.77

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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.