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Finding the Third Proportional to 454,457.25 and 988,719.75

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Solution

The third proportional to 454,457.25 and 988,719.75 is: 2,151,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,457.25 : 988,719.75 = 988,719.75 : x
  2. Step 2: Convert to fraction form
    454,457.25/988,719.75 = 988,719.75/x
  3. Step 3: Cross multiply
    454,457.25x = 988,719.75 × 988,719.75
  4. Step 4: Simplify right side
    454,457.25x = 977,566,744,040.06
  5. Step 5: Solve for x
    x = 977,566,744,040.06/454,457.25
  6. Step 6: Final answer
    x = 2,151,064.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.