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Finding the Third Proportional to 255,782 and 400,371

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Solution

The third proportional to 255,782 and 400,371 is: 626,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,782 : 400,371 = 400,371 : x
  2. Step 2: Convert to fraction form
    255,782/400,371 = 400,371/x
  3. Step 3: Cross multiply
    255,782x = 400,371 × 400,371
  4. Step 4: Simplify right side
    255,782x = 160,296,937,641
  5. Step 5: Solve for x
    x = 160,296,937,641/255,782
  6. Step 6: Final answer
    x = 626,693.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.