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Finding the Third Proportional to 503,964.28 and 780,323.63

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Solution

The third proportional to 503,964.28 and 780,323.63 is: 1,208,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,964.28 : 780,323.63 = 780,323.63 : x
  2. Step 2: Convert to fraction form
    503,964.28/780,323.63 = 780,323.63/x
  3. Step 3: Cross multiply
    503,964.28x = 780,323.63 × 780,323.63
  4. Step 4: Simplify right side
    503,964.28x = 608,904,959,733.14
  5. Step 5: Solve for x
    x = 608,904,959,733.14/503,964.28
  6. Step 6: Final answer
    x = 1,208,230.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.