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Finding the Third Proportional to 421,338 and 596,178

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Solution

The third proportional to 421,338 and 596,178 is: 843,570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,338 : 596,178 = 596,178 : x
  2. Step 2: Convert to fraction form
    421,338/596,178 = 596,178/x
  3. Step 3: Cross multiply
    421,338x = 596,178 × 596,178
  4. Step 4: Simplify right side
    421,338x = 355,428,207,684
  5. Step 5: Solve for x
    x = 355,428,207,684/421,338
  6. Step 6: Final answer
    x = 843,570.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.