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Finding the Third Proportional to 505,124 and 784,246

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Solution

The third proportional to 505,124 and 784,246 is: 1,217,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,124 : 784,246 = 784,246 : x
  2. Step 2: Convert to fraction form
    505,124/784,246 = 784,246/x
  3. Step 3: Cross multiply
    505,124x = 784,246 × 784,246
  4. Step 4: Simplify right side
    505,124x = 615,041,788,516
  5. Step 5: Solve for x
    x = 615,041,788,516/505,124
  6. Step 6: Final answer
    x = 1,217,605.56

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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.