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Finding the Third Proportional to 727,303.50 and 978,351.75

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Solution

The third proportional to 727,303.50 and 978,351.75 is: 1,316,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,303.50 : 978,351.75 = 978,351.75 : x
  2. Step 2: Convert to fraction form
    727,303.50/978,351.75 = 978,351.75/x
  3. Step 3: Cross multiply
    727,303.50x = 978,351.75 × 978,351.75
  4. Step 4: Simplify right side
    727,303.50x = 957,172,146,728.06
  5. Step 5: Solve for x
    x = 957,172,146,728.06/727,303.50
  6. Step 6: Final answer
    x = 1,316,056.02

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.