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Finding the Third Proportional to 713,402 and 978,247

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Solution

The third proportional to 713,402 and 978,247 is: 1,341,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,402 : 978,247 = 978,247 : x
  2. Step 2: Convert to fraction form
    713,402/978,247 = 978,247/x
  3. Step 3: Cross multiply
    713,402x = 978,247 × 978,247
  4. Step 4: Simplify right side
    713,402x = 956,967,193,009
  5. Step 5: Solve for x
    x = 956,967,193,009/713,402
  6. Step 6: Final answer
    x = 1,341,413.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.