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Finding the Third Proportional to 288,122 and 436,158

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Solution

The third proportional to 288,122 and 436,158 is: 660,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,122 : 436,158 = 436,158 : x
  2. Step 2: Convert to fraction form
    288,122/436,158 = 436,158/x
  3. Step 3: Cross multiply
    288,122x = 436,158 × 436,158
  4. Step 4: Simplify right side
    288,122x = 190,233,800,964
  5. Step 5: Solve for x
    x = 190,233,800,964/288,122
  6. Step 6: Final answer
    x = 660,254.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.