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Finding the Third Proportional to 405,352 and 938,292

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Solution

The third proportional to 405,352 and 938,292 is: 2,171,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,352 : 938,292 = 938,292 : x
  2. Step 2: Convert to fraction form
    405,352/938,292 = 938,292/x
  3. Step 3: Cross multiply
    405,352x = 938,292 × 938,292
  4. Step 4: Simplify right side
    405,352x = 880,391,877,264
  5. Step 5: Solve for x
    x = 880,391,877,264/405,352
  6. Step 6: Final answer
    x = 2,171,919.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.