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Finding the Third Proportional to 410,178 and 620,934

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Solution

The third proportional to 410,178 and 620,934 is: 939,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,178 : 620,934 = 620,934 : x
  2. Step 2: Convert to fraction form
    410,178/620,934 = 620,934/x
  3. Step 3: Cross multiply
    410,178x = 620,934 × 620,934
  4. Step 4: Simplify right side
    410,178x = 385,559,032,356
  5. Step 5: Solve for x
    x = 385,559,032,356/410,178
  6. Step 6: Final answer
    x = 939,979.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.