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Finding the Third Proportional to 153,807 and 337,857

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Solution

The third proportional to 153,807 and 337,857 is: 742,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,807 : 337,857 = 337,857 : x
  2. Step 2: Convert to fraction form
    153,807/337,857 = 337,857/x
  3. Step 3: Cross multiply
    153,807x = 337,857 × 337,857
  4. Step 4: Simplify right side
    153,807x = 114,147,352,449
  5. Step 5: Solve for x
    x = 114,147,352,449/153,807
  6. Step 6: Final answer
    x = 742,146.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.