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Finding the Third Proportional to 155,456 and 228,085

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Solution

The third proportional to 155,456 and 228,085 is: 334,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,456 : 228,085 = 228,085 : x
  2. Step 2: Convert to fraction form
    155,456/228,085 = 228,085/x
  3. Step 3: Cross multiply
    155,456x = 228,085 × 228,085
  4. Step 4: Simplify right side
    155,456x = 52,022,767,225
  5. Step 5: Solve for x
    x = 52,022,767,225/155,456
  6. Step 6: Final answer
    x = 334,646.25

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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.