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Finding the Third Proportional to 377,458 and 579,291

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Solution

The third proportional to 377,458 and 579,291 is: 889,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,458 : 579,291 = 579,291 : x
  2. Step 2: Convert to fraction form
    377,458/579,291 = 579,291/x
  3. Step 3: Cross multiply
    377,458x = 579,291 × 579,291
  4. Step 4: Simplify right side
    377,458x = 335,578,062,681
  5. Step 5: Solve for x
    x = 335,578,062,681/377,458
  6. Step 6: Final answer
    x = 889,047.42

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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.