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Finding the Third Proportional to 422,784 and 654,360

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Solution

The third proportional to 422,784 and 654,360 is: 1,012,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,784 : 654,360 = 654,360 : x
  2. Step 2: Convert to fraction form
    422,784/654,360 = 654,360/x
  3. Step 3: Cross multiply
    422,784x = 654,360 × 654,360
  4. Step 4: Simplify right side
    422,784x = 428,187,009,600
  5. Step 5: Solve for x
    x = 428,187,009,600/422,784
  6. Step 6: Final answer
    x = 1,012,779.60

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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.