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Finding the Third Proportional to 427,376.25 and 676,739.81

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Solution

The third proportional to 427,376.25 and 676,739.81 is: 1,071,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,376.25 : 676,739.81 = 676,739.81 : x
  2. Step 2: Convert to fraction form
    427,376.25/676,739.81 = 676,739.81/x
  3. Step 3: Cross multiply
    427,376.25x = 676,739.81 × 676,739.81
  4. Step 4: Simplify right side
    427,376.25x = 457,976,773,822.54
  5. Step 5: Solve for x
    x = 457,976,773,822.54/427,376.25
  6. Step 6: Final answer
    x = 1,071,600.90

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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.