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Finding the Third Proportional to 255,638 and 400,143

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Solution

The third proportional to 255,638 and 400,143 is: 626,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,638 : 400,143 = 400,143 : x
  2. Step 2: Convert to fraction form
    255,638/400,143 = 400,143/x
  3. Step 3: Cross multiply
    255,638x = 400,143 × 400,143
  4. Step 4: Simplify right side
    255,638x = 160,114,420,449
  5. Step 5: Solve for x
    x = 160,114,420,449/255,638
  6. Step 6: Final answer
    x = 626,332.63

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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.