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Finding the Third Proportional to 503,826.75 and 780,080.63

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Solution

The third proportional to 503,826.75 and 780,080.63 is: 1,207,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,826.75 : 780,080.63 = 780,080.63 : x
  2. Step 2: Convert to fraction form
    503,826.75/780,080.63 = 780,080.63/x
  3. Step 3: Cross multiply
    503,826.75x = 780,080.63 × 780,080.63
  4. Step 4: Simplify right side
    503,826.75x = 608,525,781,500.39
  5. Step 5: Solve for x
    x = 608,525,781,500.39/503,826.75
  6. Step 6: Final answer
    x = 1,207,807.61

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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.