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Finding the Third Proportional to 443,894.34 and 978,275.81

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Solution

The third proportional to 443,894.34 and 978,275.81 is: 2,155,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,894.34 : 978,275.81 = 978,275.81 : x
  2. Step 2: Convert to fraction form
    443,894.34/978,275.81 = 978,275.81/x
  3. Step 3: Cross multiply
    443,894.34x = 978,275.81 × 978,275.81
  4. Step 4: Simplify right side
    443,894.34x = 957,023,565,322.54
  5. Step 5: Solve for x
    x = 957,023,565,322.54/443,894.34
  6. Step 6: Final answer
    x = 2,155,971.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.