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Finding the Third Proportional to 305,388 and 448,962

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Solution

The third proportional to 305,388 and 448,962 is: 660,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,388 : 448,962 = 448,962 : x
  2. Step 2: Convert to fraction form
    305,388/448,962 = 448,962/x
  3. Step 3: Cross multiply
    305,388x = 448,962 × 448,962
  4. Step 4: Simplify right side
    305,388x = 201,566,877,444
  5. Step 5: Solve for x
    x = 201,566,877,444/305,388
  6. Step 6: Final answer
    x = 660,035.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.