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Finding the Third Proportional to 353,220.75 and 725,028.75

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Solution

The third proportional to 353,220.75 and 725,028.75 is: 1,488,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,220.75 : 725,028.75 = 725,028.75 : x
  2. Step 2: Convert to fraction form
    353,220.75/725,028.75 = 725,028.75/x
  3. Step 3: Cross multiply
    353,220.75x = 725,028.75 × 725,028.75
  4. Step 4: Simplify right side
    353,220.75x = 525,666,688,326.56
  5. Step 5: Solve for x
    x = 525,666,688,326.56/353,220.75
  6. Step 6: Final answer
    x = 1,488,210.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.