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Finding the Third Proportional to 821,692 and 1,262,442

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Solution

The third proportional to 821,692 and 1,262,442 is: 1,939,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,692 : 1,262,442 = 1,262,442 : x
  2. Step 2: Convert to fraction form
    821,692/1,262,442 = 1,262,442/x
  3. Step 3: Cross multiply
    821,692x = 1,262,442 × 1,262,442
  4. Step 4: Simplify right side
    821,692x = 1,593,759,803,364
  5. Step 5: Solve for x
    x = 1,593,759,803,364/821,692
  6. Step 6: Final answer
    x = 1,939,607.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.