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Finding the Third Proportional to 257,562 and 378,639

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Solution

The third proportional to 257,562 and 378,639 is: 556,632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,562 : 378,639 = 378,639 : x
  2. Step 2: Convert to fraction form
    257,562/378,639 = 378,639/x
  3. Step 3: Cross multiply
    257,562x = 378,639 × 378,639
  4. Step 4: Simplify right side
    257,562x = 143,367,492,321
  5. Step 5: Solve for x
    x = 143,367,492,321/257,562
  6. Step 6: Final answer
    x = 556,632.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.