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Finding the Third Proportional to 288,102 and 436,128

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Solution

The third proportional to 288,102 and 436,128 is: 660,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,102 : 436,128 = 436,128 : x
  2. Step 2: Convert to fraction form
    288,102/436,128 = 436,128/x
  3. Step 3: Cross multiply
    288,102x = 436,128 × 436,128
  4. Step 4: Simplify right side
    288,102x = 190,207,632,384
  5. Step 5: Solve for x
    x = 190,207,632,384/288,102
  6. Step 6: Final answer
    x = 660,209.34

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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.