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Finding the Third Proportional to 390,636 and 585,846

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Solution

The third proportional to 390,636 and 585,846 is: 878,607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,636 : 585,846 = 585,846 : x
  2. Step 2: Convert to fraction form
    390,636/585,846 = 585,846/x
  3. Step 3: Cross multiply
    390,636x = 585,846 × 585,846
  4. Step 4: Simplify right side
    390,636x = 343,215,535,716
  5. Step 5: Solve for x
    x = 343,215,535,716/390,636
  6. Step 6: Final answer
    x = 878,607.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.