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Finding the Third Proportional to 170,048 and 256,985

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Solution

The third proportional to 170,048 and 256,985 is: 388,368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,048 : 256,985 = 256,985 : x
  2. Step 2: Convert to fraction form
    170,048/256,985 = 256,985/x
  3. Step 3: Cross multiply
    170,048x = 256,985 × 256,985
  4. Step 4: Simplify right side
    170,048x = 66,041,290,225
  5. Step 5: Solve for x
    x = 66,041,290,225/170,048
  6. Step 6: Final answer
    x = 388,368.52

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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.