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Finding the Third Proportional to 656,013 and 1,420,836

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Solution

The third proportional to 656,013 and 1,420,836 is: 3,077,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,013 : 1,420,836 = 1,420,836 : x
  2. Step 2: Convert to fraction form
    656,013/1,420,836 = 1,420,836/x
  3. Step 3: Cross multiply
    656,013x = 1,420,836 × 1,420,836
  4. Step 4: Simplify right side
    656,013x = 2,018,774,938,896
  5. Step 5: Solve for x
    x = 2,018,774,938,896/656,013
  6. Step 6: Final answer
    x = 3,077,339.84

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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.