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Finding the Third Proportional to 407,000 and 884,064

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Solution

The third proportional to 407,000 and 884,064 is: 1,920,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,000 : 884,064 = 884,064 : x
  2. Step 2: Convert to fraction form
    407,000/884,064 = 884,064/x
  3. Step 3: Cross multiply
    407,000x = 884,064 × 884,064
  4. Step 4: Simplify right side
    407,000x = 781,569,156,096
  5. Step 5: Solve for x
    x = 781,569,156,096/407,000
  6. Step 6: Final answer
    x = 1,920,317.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.