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Finding the Third Proportional to 398,742.75 and 606,429

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Solution

The third proportional to 398,742.75 and 606,429 is: 922,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,742.75 : 606,429 = 606,429 : x
  2. Step 2: Convert to fraction form
    398,742.75/606,429 = 606,429/x
  3. Step 3: Cross multiply
    398,742.75x = 606,429 × 606,429
  4. Step 4: Simplify right side
    398,742.75x = 367,756,132,041
  5. Step 5: Solve for x
    x = 367,756,132,041/398,742.75
  6. Step 6: Final answer
    x = 922,289.20

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.