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Finding the Third Proportional to 333,083 and 713,758

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Solution

The third proportional to 333,083 and 713,758 is: 1,529,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,083 : 713,758 = 713,758 : x
  2. Step 2: Convert to fraction form
    333,083/713,758 = 713,758/x
  3. Step 3: Cross multiply
    333,083x = 713,758 × 713,758
  4. Step 4: Simplify right side
    333,083x = 509,450,482,564
  5. Step 5: Solve for x
    x = 509,450,482,564/333,083
  6. Step 6: Final answer
    x = 1,529,500.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.