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Finding the Third Proportional to 552,104 and 781,392

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Solution

The third proportional to 552,104 and 781,392 is: 1,105,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,104 : 781,392 = 781,392 : x
  2. Step 2: Convert to fraction form
    552,104/781,392 = 781,392/x
  3. Step 3: Cross multiply
    552,104x = 781,392 × 781,392
  4. Step 4: Simplify right side
    552,104x = 610,573,457,664
  5. Step 5: Solve for x
    x = 610,573,457,664/552,104
  6. Step 6: Final answer
    x = 1,105,902.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.