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Finding the Third Proportional to 390,483 and 852,570

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Solution

The third proportional to 390,483 and 852,570 is: 1,861,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,483 : 852,570 = 852,570 : x
  2. Step 2: Convert to fraction form
    390,483/852,570 = 852,570/x
  3. Step 3: Cross multiply
    390,483x = 852,570 × 852,570
  4. Step 4: Simplify right side
    390,483x = 726,875,604,900
  5. Step 5: Solve for x
    x = 726,875,604,900/390,483
  6. Step 6: Final answer
    x = 1,861,478.23

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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.