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Finding the Third Proportional to 288,402 and 621,174

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Solution

The third proportional to 288,402 and 621,174 is: 1,337,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,402 : 621,174 = 621,174 : x
  2. Step 2: Convert to fraction form
    288,402/621,174 = 621,174/x
  3. Step 3: Cross multiply
    288,402x = 621,174 × 621,174
  4. Step 4: Simplify right side
    288,402x = 385,857,138,276
  5. Step 5: Solve for x
    x = 385,857,138,276/288,402
  6. Step 6: Final answer
    x = 1,337,914.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.