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Finding the Third Proportional to 654,895.13 and 978,297.75

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Solution

The third proportional to 654,895.13 and 978,297.75 is: 1,461,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,895.13 : 978,297.75 = 978,297.75 : x
  2. Step 2: Convert to fraction form
    654,895.13/978,297.75 = 978,297.75/x
  3. Step 3: Cross multiply
    654,895.13x = 978,297.75 × 978,297.75
  4. Step 4: Simplify right side
    654,895.13x = 957,066,487,655.06
  5. Step 5: Solve for x
    x = 957,066,487,655.06/654,895.13
  6. Step 6: Final answer
    x = 1,461,404.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.