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Finding the Third Proportional to 370,622.25 and 812,161.50

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Solution

The third proportional to 370,622.25 and 812,161.50 is: 1,779,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,622.25 : 812,161.50 = 812,161.50 : x
  2. Step 2: Convert to fraction form
    370,622.25/812,161.50 = 812,161.50/x
  3. Step 3: Cross multiply
    370,622.25x = 812,161.50 × 812,161.50
  4. Step 4: Simplify right side
    370,622.25x = 659,606,302,082.25
  5. Step 5: Solve for x
    x = 659,606,302,082.25/370,622.25
  6. Step 6: Final answer
    x = 1,779,726.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.