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Finding the Third Proportional to 301,132 and 645,728

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Solution

The third proportional to 301,132 and 645,728 is: 1,384,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,132 : 645,728 = 645,728 : x
  2. Step 2: Convert to fraction form
    301,132/645,728 = 645,728/x
  3. Step 3: Cross multiply
    301,132x = 645,728 × 645,728
  4. Step 4: Simplify right side
    301,132x = 416,964,649,984
  5. Step 5: Solve for x
    x = 416,964,649,984/301,132
  6. Step 6: Final answer
    x = 1,384,657.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.