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Finding the Third Proportional to 427,896 and 678,132

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Solution

The third proportional to 427,896 and 678,132 is: 1,074,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,896 : 678,132 = 678,132 : x
  2. Step 2: Convert to fraction form
    427,896/678,132 = 678,132/x
  3. Step 3: Cross multiply
    427,896x = 678,132 × 678,132
  4. Step 4: Simplify right side
    427,896x = 459,863,009,424
  5. Step 5: Solve for x
    x = 459,863,009,424/427,896
  6. Step 6: Final answer
    x = 1,074,707.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.