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Finding the Third Proportional to 133,326 and 314,719

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Solution

The third proportional to 133,326 and 314,719 is: 742,901.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,326 : 314,719 = 314,719 : x
  2. Step 2: Convert to fraction form
    133,326/314,719 = 314,719/x
  3. Step 3: Cross multiply
    133,326x = 314,719 × 314,719
  4. Step 4: Simplify right side
    133,326x = 99,048,048,961
  5. Step 5: Solve for x
    x = 99,048,048,961/133,326
  6. Step 6: Final answer
    x = 742,901.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.