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Finding the Third Proportional to 390,501 and 852,606

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Solution

The third proportional to 390,501 and 852,606 is: 1,861,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,501 : 852,606 = 852,606 : x
  2. Step 2: Convert to fraction form
    390,501/852,606 = 852,606/x
  3. Step 3: Cross multiply
    390,501x = 852,606 × 852,606
  4. Step 4: Simplify right side
    390,501x = 726,936,991,236
  5. Step 5: Solve for x
    x = 726,936,991,236/390,501
  6. Step 6: Final answer
    x = 1,861,549.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.