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Finding the Third Proportional to 390,499 and 852,602

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Solution

The third proportional to 390,499 and 852,602 is: 1,861,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,499 : 852,602 = 852,602 : x
  2. Step 2: Convert to fraction form
    390,499/852,602 = 852,602/x
  3. Step 3: Cross multiply
    390,499x = 852,602 × 852,602
  4. Step 4: Simplify right side
    390,499x = 726,930,170,404
  5. Step 5: Solve for x
    x = 726,930,170,404/390,499
  6. Step 6: Final answer
    x = 1,861,541.70

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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.