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Finding the Third Proportional to 416,570 and 862,678

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Solution

The third proportional to 416,570 and 862,678 is: 1,786,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,570 : 862,678 = 862,678 : x
  2. Step 2: Convert to fraction form
    416,570/862,678 = 862,678/x
  3. Step 3: Cross multiply
    416,570x = 862,678 × 862,678
  4. Step 4: Simplify right side
    416,570x = 744,213,331,684
  5. Step 5: Solve for x
    x = 744,213,331,684/416,570
  6. Step 6: Final answer
    x = 1,786,526.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.