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Finding the Third Proportional to 262,594 and 407,380

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Solution

The third proportional to 262,594 and 407,380 is: 631,996.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,594 : 407,380 = 407,380 : x
  2. Step 2: Convert to fraction form
    262,594/407,380 = 407,380/x
  3. Step 3: Cross multiply
    262,594x = 407,380 × 407,380
  4. Step 4: Simplify right side
    262,594x = 165,958,464,400
  5. Step 5: Solve for x
    x = 165,958,464,400/262,594
  6. Step 6: Final answer
    x = 631,996.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.