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Finding the Third Proportional to 552,106 and 781,395

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Solution

The third proportional to 552,106 and 781,395 is: 1,105,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,106 : 781,395 = 781,395 : x
  2. Step 2: Convert to fraction form
    552,106/781,395 = 781,395/x
  3. Step 3: Cross multiply
    552,106x = 781,395 × 781,395
  4. Step 4: Simplify right side
    552,106x = 610,578,146,025
  5. Step 5: Solve for x
    x = 610,578,146,025/552,106
  6. Step 6: Final answer
    x = 1,105,907.46

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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.