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Finding the Third Proportional to 428,501 and 818,122

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Solution

The third proportional to 428,501 and 818,122 is: 1,562,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,501 : 818,122 = 818,122 : x
  2. Step 2: Convert to fraction form
    428,501/818,122 = 818,122/x
  3. Step 3: Cross multiply
    428,501x = 818,122 × 818,122
  4. Step 4: Simplify right side
    428,501x = 669,323,606,884
  5. Step 5: Solve for x
    x = 669,323,606,884/428,501
  6. Step 6: Final answer
    x = 1,562,011.77

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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.