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Finding the Third Proportional to 228,567 and 354,405

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Solution

The third proportional to 228,567 and 354,405 is: 549,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,567 : 354,405 = 354,405 : x
  2. Step 2: Convert to fraction form
    228,567/354,405 = 354,405/x
  3. Step 3: Cross multiply
    228,567x = 354,405 × 354,405
  4. Step 4: Simplify right side
    228,567x = 125,602,904,025
  5. Step 5: Solve for x
    x = 125,602,904,025/228,567
  6. Step 6: Final answer
    x = 549,523.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.