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Finding the Third Proportional to 426,400 and 638,943

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Solution

The third proportional to 426,400 and 638,943 is: 957,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,400 : 638,943 = 638,943 : x
  2. Step 2: Convert to fraction form
    426,400/638,943 = 638,943/x
  3. Step 3: Cross multiply
    426,400x = 638,943 × 638,943
  4. Step 4: Simplify right side
    426,400x = 408,248,157,249
  5. Step 5: Solve for x
    x = 408,248,157,249/426,400
  6. Step 6: Final answer
    x = 957,430.01

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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.