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Finding the Third Proportional to 390,002 and 843,970

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Solution

The third proportional to 390,002 and 843,970 is: 1,826,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,002 : 843,970 = 843,970 : x
  2. Step 2: Convert to fraction form
    390,002/843,970 = 843,970/x
  3. Step 3: Cross multiply
    390,002x = 843,970 × 843,970
  4. Step 4: Simplify right side
    390,002x = 712,285,360,900
  5. Step 5: Solve for x
    x = 712,285,360,900/390,002
  6. Step 6: Final answer
    x = 1,826,363.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.