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Finding the Third Proportional to 427,680 and 662,148

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Solution

The third proportional to 427,680 and 662,148 is: 1,025,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,680 : 662,148 = 662,148 : x
  2. Step 2: Convert to fraction form
    427,680/662,148 = 662,148/x
  3. Step 3: Cross multiply
    427,680x = 662,148 × 662,148
  4. Step 4: Simplify right side
    427,680x = 438,439,973,904
  5. Step 5: Solve for x
    x = 438,439,973,904/427,680
  6. Step 6: Final answer
    x = 1,025,158.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.