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Finding the Third Proportional to 333,326 and 476,320

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Solution

The third proportional to 333,326 and 476,320 is: 680,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,326 : 476,320 = 476,320 : x
  2. Step 2: Convert to fraction form
    333,326/476,320 = 476,320/x
  3. Step 3: Cross multiply
    333,326x = 476,320 × 476,320
  4. Step 4: Simplify right side
    333,326x = 226,880,742,400
  5. Step 5: Solve for x
    x = 226,880,742,400/333,326
  6. Step 6: Final answer
    x = 680,657.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.