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Finding the Third Proportional to 390,849 and 856,515

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Solution

The third proportional to 390,849 and 856,515 is: 1,876,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,849 : 856,515 = 856,515 : x
  2. Step 2: Convert to fraction form
    390,849/856,515 = 856,515/x
  3. Step 3: Cross multiply
    390,849x = 856,515 × 856,515
  4. Step 4: Simplify right side
    390,849x = 733,617,945,225
  5. Step 5: Solve for x
    x = 733,617,945,225/390,849
  6. Step 6: Final answer
    x = 1,876,985.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.