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Finding the Third Proportional to 318,011 and 430,360

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Solution

The third proportional to 318,011 and 430,360 is: 582,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,011 : 430,360 = 430,360 : x
  2. Step 2: Convert to fraction form
    318,011/430,360 = 430,360/x
  3. Step 3: Cross multiply
    318,011x = 430,360 × 430,360
  4. Step 4: Simplify right side
    318,011x = 185,209,729,600
  5. Step 5: Solve for x
    x = 185,209,729,600/318,011
  6. Step 6: Final answer
    x = 582,400.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.