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Finding the Third Proportional to 288,008 and 382,174

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Solution

The third proportional to 288,008 and 382,174 is: 507,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,008 : 382,174 = 382,174 : x
  2. Step 2: Convert to fraction form
    288,008/382,174 = 382,174/x
  3. Step 3: Cross multiply
    288,008x = 382,174 × 382,174
  4. Step 4: Simplify right side
    288,008x = 146,056,966,276
  5. Step 5: Solve for x
    x = 146,056,966,276/288,008
  6. Step 6: Final answer
    x = 507,128.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.