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Finding the Third Proportional to 653,778 and 990,447.75

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Solution

The third proportional to 653,778 and 990,447.75 is: 1,500,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,778 : 990,447.75 = 990,447.75 : x
  2. Step 2: Convert to fraction form
    653,778/990,447.75 = 990,447.75/x
  3. Step 3: Cross multiply
    653,778x = 990,447.75 × 990,447.75
  4. Step 4: Simplify right side
    653,778x = 980,986,745,480.06
  5. Step 5: Solve for x
    x = 980,986,745,480.06/653,778
  6. Step 6: Final answer
    x = 1,500,489.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.