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Finding the Third Proportional to 390,529 and 812,158

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Solution

The third proportional to 390,529 and 812,158 is: 1,688,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,529 : 812,158 = 812,158 : x
  2. Step 2: Convert to fraction form
    390,529/812,158 = 812,158/x
  3. Step 3: Cross multiply
    390,529x = 812,158 × 812,158
  4. Step 4: Simplify right side
    390,529x = 659,600,616,964
  5. Step 5: Solve for x
    x = 659,600,616,964/390,529
  6. Step 6: Final answer
    x = 1,688,992.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.