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Finding the Third Proportional to 503,266 and 772,419

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Solution

The third proportional to 503,266 and 772,419 is: 1,185,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,266 : 772,419 = 772,419 : x
  2. Step 2: Convert to fraction form
    503,266/772,419 = 772,419/x
  3. Step 3: Cross multiply
    503,266x = 772,419 × 772,419
  4. Step 4: Simplify right side
    503,266x = 596,631,111,561
  5. Step 5: Solve for x
    x = 596,631,111,561/503,266
  6. Step 6: Final answer
    x = 1,185,518.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.