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Finding the Third Proportional to 390,006 and 840,684

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Solution

The third proportional to 390,006 and 840,684 is: 1,812,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,006 : 840,684 = 840,684 : x
  2. Step 2: Convert to fraction form
    390,006/840,684 = 840,684/x
  3. Step 3: Cross multiply
    390,006x = 840,684 × 840,684
  4. Step 4: Simplify right side
    390,006x = 706,749,587,856
  5. Step 5: Solve for x
    x = 706,749,587,856/390,006
  6. Step 6: Final answer
    x = 1,812,150.55

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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.