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Finding the Third Proportional to 333,476.50 and 730,203

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Solution

The third proportional to 333,476.50 and 730,203 is: 1,598,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,476.50 : 730,203 = 730,203 : x
  2. Step 2: Convert to fraction form
    333,476.50/730,203 = 730,203/x
  3. Step 3: Cross multiply
    333,476.50x = 730,203 × 730,203
  4. Step 4: Simplify right side
    333,476.50x = 533,196,421,209
  5. Step 5: Solve for x
    x = 533,196,421,209/333,476.50
  6. Step 6: Final answer
    x = 1,598,902.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.