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Finding the Third Proportional to 422,925 and 622,702.50

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Solution

The third proportional to 422,925 and 622,702.50 is: 916,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,925 : 622,702.50 = 622,702.50 : x
  2. Step 2: Convert to fraction form
    422,925/622,702.50 = 622,702.50/x
  3. Step 3: Cross multiply
    422,925x = 622,702.50 × 622,702.50
  4. Step 4: Simplify right side
    422,925x = 387,758,403,506.25
  5. Step 5: Solve for x
    x = 387,758,403,506.25/422,925
  6. Step 6: Final answer
    x = 916,849.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.