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Finding the Third Proportional to 155,890 and 228,280

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Solution

The third proportional to 155,890 and 228,280 is: 334,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,890 : 228,280 = 228,280 : x
  2. Step 2: Convert to fraction form
    155,890/228,280 = 228,280/x
  3. Step 3: Cross multiply
    155,890x = 228,280 × 228,280
  4. Step 4: Simplify right side
    155,890x = 52,111,758,400
  5. Step 5: Solve for x
    x = 52,111,758,400/155,890
  6. Step 6: Final answer
    x = 334,285.45

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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.