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Finding the Third Proportional to 228,987 and 514,269

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Solution

The third proportional to 228,987 and 514,269 is: 1,154,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,987 : 514,269 = 514,269 : x
  2. Step 2: Convert to fraction form
    228,987/514,269 = 514,269/x
  3. Step 3: Cross multiply
    228,987x = 514,269 × 514,269
  4. Step 4: Simplify right side
    228,987x = 264,472,604,361
  5. Step 5: Solve for x
    x = 264,472,604,361/228,987
  6. Step 6: Final answer
    x = 1,154,967.77

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.