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Finding the Third Proportional to 432,639 and 938,286

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Solution

The third proportional to 432,639 and 938,286 is: 2,034,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,639 : 938,286 = 938,286 : x
  2. Step 2: Convert to fraction form
    432,639/938,286 = 938,286/x
  3. Step 3: Cross multiply
    432,639x = 938,286 × 938,286
  4. Step 4: Simplify right side
    432,639x = 880,380,617,796
  5. Step 5: Solve for x
    x = 880,380,617,796/432,639
  6. Step 6: Final answer
    x = 2,034,908.13

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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.