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Finding the Third Proportional to 155,728 and 228,056

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Solution

The third proportional to 155,728 and 228,056 is: 333,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,728 : 228,056 = 228,056 : x
  2. Step 2: Convert to fraction form
    155,728/228,056 = 228,056/x
  3. Step 3: Cross multiply
    155,728x = 228,056 × 228,056
  4. Step 4: Simplify right side
    155,728x = 52,009,539,136
  5. Step 5: Solve for x
    x = 52,009,539,136/155,728
  6. Step 6: Final answer
    x = 333,976.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.