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Finding the Third Proportional to 143,352 and 311,592

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Solution

The third proportional to 143,352 and 311,592 is: 677,280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,352 : 311,592 = 311,592 : x
  2. Step 2: Convert to fraction form
    143,352/311,592 = 311,592/x
  3. Step 3: Cross multiply
    143,352x = 311,592 × 311,592
  4. Step 4: Simplify right side
    143,352x = 97,089,574,464
  5. Step 5: Solve for x
    x = 97,089,574,464/143,352
  6. Step 6: Final answer
    x = 677,280.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.