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Finding the Third Proportional to 155,854 and 222,854

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Solution

The third proportional to 155,854 and 222,854 is: 318,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,854 : 222,854 = 222,854 : x
  2. Step 2: Convert to fraction form
    155,854/222,854 = 222,854/x
  3. Step 3: Cross multiply
    155,854x = 222,854 × 222,854
  4. Step 4: Simplify right side
    155,854x = 49,663,905,316
  5. Step 5: Solve for x
    x = 49,663,905,316/155,854
  6. Step 6: Final answer
    x = 318,656.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.