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Finding the Third Proportional to 398,068 and 841,064

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Solution

The third proportional to 398,068 and 841,064 is: 1,777,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,068 : 841,064 = 841,064 : x
  2. Step 2: Convert to fraction form
    398,068/841,064 = 841,064/x
  3. Step 3: Cross multiply
    398,068x = 841,064 × 841,064
  4. Step 4: Simplify right side
    398,068x = 707,388,652,096
  5. Step 5: Solve for x
    x = 707,388,652,096/398,068
  6. Step 6: Final answer
    x = 1,777,054.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.