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Finding the Third Proportional to 505,156 and 780,252

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Solution

The third proportional to 505,156 and 780,252 is: 1,205,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,156 : 780,252 = 780,252 : x
  2. Step 2: Convert to fraction form
    505,156/780,252 = 780,252/x
  3. Step 3: Cross multiply
    505,156x = 780,252 × 780,252
  4. Step 4: Simplify right side
    505,156x = 608,793,183,504
  5. Step 5: Solve for x
    x = 608,793,183,504/505,156
  6. Step 6: Final answer
    x = 1,205,158.77

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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.