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Finding the Third Proportional to 191,430 and 281,616.75

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Solution

The third proportional to 191,430 and 281,616.75 is: 414,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,430 : 281,616.75 = 281,616.75 : x
  2. Step 2: Convert to fraction form
    191,430/281,616.75 = 281,616.75/x
  3. Step 3: Cross multiply
    191,430x = 281,616.75 × 281,616.75
  4. Step 4: Simplify right side
    191,430x = 79,307,993,880.56
  5. Step 5: Solve for x
    x = 79,307,993,880.56/191,430
  6. Step 6: Final answer
    x = 414,292.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.