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Finding the Third Proportional to 143,724 and 305,592

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Solution

The third proportional to 143,724 and 305,592 is: 649,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,724 : 305,592 = 305,592 : x
  2. Step 2: Convert to fraction form
    143,724/305,592 = 305,592/x
  3. Step 3: Cross multiply
    143,724x = 305,592 × 305,592
  4. Step 4: Simplify right side
    143,724x = 93,386,470,464
  5. Step 5: Solve for x
    x = 93,386,470,464/143,724
  6. Step 6: Final answer
    x = 649,762.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.