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Finding the Third Proportional to 287,763 and 426,063

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Solution

The third proportional to 287,763 and 426,063 is: 630,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,763 : 426,063 = 426,063 : x
  2. Step 2: Convert to fraction form
    287,763/426,063 = 426,063/x
  3. Step 3: Cross multiply
    287,763x = 426,063 × 426,063
  4. Step 4: Simplify right side
    287,763x = 181,529,679,969
  5. Step 5: Solve for x
    x = 181,529,679,969/287,763
  6. Step 6: Final answer
    x = 630,830.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.