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Finding the Third Proportional to 428,502 and 818,124

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Solution

The third proportional to 428,502 and 818,124 is: 1,562,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,502 : 818,124 = 818,124 : x
  2. Step 2: Convert to fraction form
    428,502/818,124 = 818,124/x
  3. Step 3: Cross multiply
    428,502x = 818,124 × 818,124
  4. Step 4: Simplify right side
    428,502x = 669,326,879,376
  5. Step 5: Solve for x
    x = 669,326,879,376/428,502
  6. Step 6: Final answer
    x = 1,562,015.77

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.