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Finding the Third Proportional to 333,085.50 and 713,763

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Solution

The third proportional to 333,085.50 and 713,763 is: 1,529,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,085.50 : 713,763 = 713,763 : x
  2. Step 2: Convert to fraction form
    333,085.50/713,763 = 713,763/x
  3. Step 3: Cross multiply
    333,085.50x = 713,763 × 713,763
  4. Step 4: Simplify right side
    333,085.50x = 509,457,620,169
  5. Step 5: Solve for x
    x = 509,457,620,169/333,085.50
  6. Step 6: Final answer
    x = 1,529,510.05

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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.