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Finding the Third Proportional to 408,070 and 883,928

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Solution

The third proportional to 408,070 and 883,928 is: 1,914,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,070 : 883,928 = 883,928 : x
  2. Step 2: Convert to fraction form
    408,070/883,928 = 883,928/x
  3. Step 3: Cross multiply
    408,070x = 883,928 × 883,928
  4. Step 4: Simplify right side
    408,070x = 781,328,709,184
  5. Step 5: Solve for x
    x = 781,328,709,184/408,070
  6. Step 6: Final answer
    x = 1,914,692.84

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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.