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Finding the Third Proportional to 503,419 and 777,748

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Solution

The third proportional to 503,419 and 777,748 is: 1,201,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,419 : 777,748 = 777,748 : x
  2. Step 2: Convert to fraction form
    503,419/777,748 = 777,748/x
  3. Step 3: Cross multiply
    503,419x = 777,748 × 777,748
  4. Step 4: Simplify right side
    503,419x = 604,891,951,504
  5. Step 5: Solve for x
    x = 604,891,951,504/503,419
  6. Step 6: Final answer
    x = 1,201,567.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.