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Finding the Third Proportional to 427,896 and 662,580

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Solution

The third proportional to 427,896 and 662,580 is: 1,025,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,896 : 662,580 = 662,580 : x
  2. Step 2: Convert to fraction form
    427,896/662,580 = 662,580/x
  3. Step 3: Cross multiply
    427,896x = 662,580 × 662,580
  4. Step 4: Simplify right side
    427,896x = 439,012,256,400
  5. Step 5: Solve for x
    x = 439,012,256,400/427,896
  6. Step 6: Final answer
    x = 1,025,978.87

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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.