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Finding the Third Proportional to 407,620 and 587,129

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Solution

The third proportional to 407,620 and 587,129 is: 845,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,620 : 587,129 = 587,129 : x
  2. Step 2: Convert to fraction form
    407,620/587,129 = 587,129/x
  3. Step 3: Cross multiply
    407,620x = 587,129 × 587,129
  4. Step 4: Simplify right side
    407,620x = 344,720,462,641
  5. Step 5: Solve for x
    x = 344,720,462,641/407,620
  6. Step 6: Final answer
    x = 845,690.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.