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Finding the Third Proportional to 377,419.50 and 579,271.50

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Solution

The third proportional to 377,419.50 and 579,271.50 is: 889,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,419.50 : 579,271.50 = 579,271.50 : x
  2. Step 2: Convert to fraction form
    377,419.50/579,271.50 = 579,271.50/x
  3. Step 3: Cross multiply
    377,419.50x = 579,271.50 × 579,271.50
  4. Step 4: Simplify right side
    377,419.50x = 335,555,470,712.25
  5. Step 5: Solve for x
    x = 335,555,470,712.25/377,419.50
  6. Step 6: Final answer
    x = 889,078.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.