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Finding the Third Proportional to 439,222 and 642,078

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Solution

The third proportional to 439,222 and 642,078 is: 938,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,222 : 642,078 = 642,078 : x
  2. Step 2: Convert to fraction form
    439,222/642,078 = 642,078/x
  3. Step 3: Cross multiply
    439,222x = 642,078 × 642,078
  4. Step 4: Simplify right side
    439,222x = 412,264,158,084
  5. Step 5: Solve for x
    x = 412,264,158,084/439,222
  6. Step 6: Final answer
    x = 938,623.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.