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Finding the Third Proportional to 427,848 and 657,692

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Solution

The third proportional to 427,848 and 657,692 is: 1,011,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,848 : 657,692 = 657,692 : x
  2. Step 2: Convert to fraction form
    427,848/657,692 = 657,692/x
  3. Step 3: Cross multiply
    427,848x = 657,692 × 657,692
  4. Step 4: Simplify right side
    427,848x = 432,558,766,864
  5. Step 5: Solve for x
    x = 432,558,766,864/427,848
  6. Step 6: Final answer
    x = 1,011,010.37

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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.