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Finding the Third Proportional to 170,278 and 257,787

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Solution

The third proportional to 170,278 and 257,787 is: 390,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,278 : 257,787 = 257,787 : x
  2. Step 2: Convert to fraction form
    170,278/257,787 = 257,787/x
  3. Step 3: Cross multiply
    170,278x = 257,787 × 257,787
  4. Step 4: Simplify right side
    170,278x = 66,454,137,369
  5. Step 5: Solve for x
    x = 66,454,137,369/170,278
  6. Step 6: Final answer
    x = 390,268.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.