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Finding the Third Proportional to 616,378 and 978,015

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Solution

The third proportional to 616,378 and 978,015 is: 1,551,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,378 : 978,015 = 978,015 : x
  2. Step 2: Convert to fraction form
    616,378/978,015 = 978,015/x
  3. Step 3: Cross multiply
    616,378x = 978,015 × 978,015
  4. Step 4: Simplify right side
    616,378x = 956,513,340,225
  5. Step 5: Solve for x
    x = 956,513,340,225/616,378
  6. Step 6: Final answer
    x = 1,551,829.14

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.