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Finding the Third Proportional to 686,301.38 and 990,074.06

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Solution

The third proportional to 686,301.38 and 990,074.06 is: 1,428,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,301.38 : 990,074.06 = 990,074.06 : x
  2. Step 2: Convert to fraction form
    686,301.38/990,074.06 = 990,074.06/x
  3. Step 3: Cross multiply
    686,301.38x = 990,074.06 × 990,074.06
  4. Step 4: Simplify right side
    686,301.38x = 980,246,649,235.25
  5. Step 5: Solve for x
    x = 980,246,649,235.25/686,301.38
  6. Step 6: Final answer
    x = 1,428,303.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.