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Finding the Third Proportional to 174,640 and 256,209

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Solution

The third proportional to 174,640 and 256,209 is: 375,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,640 : 256,209 = 256,209 : x
  2. Step 2: Convert to fraction form
    174,640/256,209 = 256,209/x
  3. Step 3: Cross multiply
    174,640x = 256,209 × 256,209
  4. Step 4: Simplify right side
    174,640x = 65,643,051,681
  5. Step 5: Solve for x
    x = 65,643,051,681/174,640
  6. Step 6: Final answer
    x = 375,876.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.