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Finding the Third Proportional to 503,078 and 715,257

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Solution

The third proportional to 503,078 and 715,257 is: 1,016,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,078 : 715,257 = 715,257 : x
  2. Step 2: Convert to fraction form
    503,078/715,257 = 715,257/x
  3. Step 3: Cross multiply
    503,078x = 715,257 × 715,257
  4. Step 4: Simplify right side
    503,078x = 511,592,576,049
  5. Step 5: Solve for x
    x = 511,592,576,049/503,078
  6. Step 6: Final answer
    x = 1,016,924.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.