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Finding the Third Proportional to 174,989 and 256,287

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Solution

The third proportional to 174,989 and 256,287 is: 375,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,989 : 256,287 = 256,287 : x
  2. Step 2: Convert to fraction form
    174,989/256,287 = 256,287/x
  3. Step 3: Cross multiply
    174,989x = 256,287 × 256,287
  4. Step 4: Simplify right side
    174,989x = 65,683,026,369
  5. Step 5: Solve for x
    x = 65,683,026,369/174,989
  6. Step 6: Final answer
    x = 375,355.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.