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Finding the Third Proportional to 342,028.69 and 749,728.13

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Solution

The third proportional to 342,028.69 and 749,728.13 is: 1,643,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,028.69 : 749,728.13 = 749,728.13 : x
  2. Step 2: Convert to fraction form
    342,028.69/749,728.13 = 749,728.13/x
  3. Step 3: Cross multiply
    342,028.69x = 749,728.13 × 749,728.13
  4. Step 4: Simplify right side
    342,028.69x = 562,092,261,416.02
  5. Step 5: Solve for x
    x = 562,092,261,416.02/342,028.69
  6. Step 6: Final answer
    x = 1,643,406.77

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