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Finding the Third Proportional to 505,111 and 784,230

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Solution

The third proportional to 505,111 and 784,230 is: 1,217,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,111 : 784,230 = 784,230 : x
  2. Step 2: Convert to fraction form
    505,111/784,230 = 784,230/x
  3. Step 3: Cross multiply
    505,111x = 784,230 × 784,230
  4. Step 4: Simplify right side
    505,111x = 615,016,692,900
  5. Step 5: Solve for x
    x = 615,016,692,900/505,111
  6. Step 6: Final answer
    x = 1,217,587.21

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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.