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Finding the Third Proportional to 650,888 and 978,215

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Solution

The third proportional to 650,888 and 978,215 is: 1,470,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,888 : 978,215 = 978,215 : x
  2. Step 2: Convert to fraction form
    650,888/978,215 = 978,215/x
  3. Step 3: Cross multiply
    650,888x = 978,215 × 978,215
  4. Step 4: Simplify right side
    650,888x = 956,904,586,225
  5. Step 5: Solve for x
    x = 956,904,586,225/650,888
  6. Step 6: Final answer
    x = 1,470,152.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.