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Finding the Third Proportional to 161,816 and 253,284

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Solution

The third proportional to 161,816 and 253,284 is: 396,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,816 : 253,284 = 253,284 : x
  2. Step 2: Convert to fraction form
    161,816/253,284 = 253,284/x
  3. Step 3: Cross multiply
    161,816x = 253,284 × 253,284
  4. Step 4: Simplify right side
    161,816x = 64,152,784,656
  5. Step 5: Solve for x
    x = 64,152,784,656/161,816
  6. Step 6: Final answer
    x = 396,455.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.