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Finding the Third Proportional to 438,438 and 942,145

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Solution

The third proportional to 438,438 and 942,145 is: 2,024,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,438 : 942,145 = 942,145 : x
  2. Step 2: Convert to fraction form
    438,438/942,145 = 942,145/x
  3. Step 3: Cross multiply
    438,438x = 942,145 × 942,145
  4. Step 4: Simplify right side
    438,438x = 887,637,201,025
  5. Step 5: Solve for x
    x = 887,637,201,025/438,438
  6. Step 6: Final answer
    x = 2,024,544.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.