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Finding the Third Proportional to 253,458 and 379,428

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Solution

The third proportional to 253,458 and 379,428 is: 568,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,458 : 379,428 = 379,428 : x
  2. Step 2: Convert to fraction form
    253,458/379,428 = 379,428/x
  3. Step 3: Cross multiply
    253,458x = 379,428 × 379,428
  4. Step 4: Simplify right side
    253,458x = 143,965,607,184
  5. Step 5: Solve for x
    x = 143,965,607,184/253,458
  6. Step 6: Final answer
    x = 568,005.77

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Why These Related Problems?

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