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Finding the Third Proportional to 292,367 and 639,409

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Solution

The third proportional to 292,367 and 639,409 is: 1,398,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,367 : 639,409 = 639,409 : x
  2. Step 2: Convert to fraction form
    292,367/639,409 = 639,409/x
  3. Step 3: Cross multiply
    292,367x = 639,409 × 639,409
  4. Step 4: Simplify right side
    292,367x = 408,843,869,281
  5. Step 5: Solve for x
    x = 408,843,869,281/292,367
  6. Step 6: Final answer
    x = 1,398,392.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.