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Finding the Third Proportional to 174,985 and 256,281

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Solution

The third proportional to 174,985 and 256,281 is: 375,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,985 : 256,281 = 256,281 : x
  2. Step 2: Convert to fraction form
    174,985/256,281 = 256,281/x
  3. Step 3: Cross multiply
    174,985x = 256,281 × 256,281
  4. Step 4: Simplify right side
    174,985x = 65,679,950,961
  5. Step 5: Solve for x
    x = 65,679,950,961/174,985
  6. Step 6: Final answer
    x = 375,346.18

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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.