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Finding the Third Proportional to 380,178 and 531,514

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Solution

The third proportional to 380,178 and 531,514 is: 743,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,178 : 531,514 = 531,514 : x
  2. Step 2: Convert to fraction form
    380,178/531,514 = 531,514/x
  3. Step 3: Cross multiply
    380,178x = 531,514 × 531,514
  4. Step 4: Simplify right side
    380,178x = 282,507,132,196
  5. Step 5: Solve for x
    x = 282,507,132,196/380,178
  6. Step 6: Final answer
    x = 743,091.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.