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Finding the Third Proportional to 289,104 and 431,160

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Solution

The third proportional to 289,104 and 431,160 is: 643,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,104 : 431,160 = 431,160 : x
  2. Step 2: Convert to fraction form
    289,104/431,160 = 431,160/x
  3. Step 3: Cross multiply
    289,104x = 431,160 × 431,160
  4. Step 4: Simplify right side
    289,104x = 185,898,945,600
  5. Step 5: Solve for x
    x = 185,898,945,600/289,104
  6. Step 6: Final answer
    x = 643,017.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.