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Finding the Third Proportional to 228,317 and 361,513

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Solution

The third proportional to 228,317 and 361,513 is: 572,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,317 : 361,513 = 361,513 : x
  2. Step 2: Convert to fraction form
    228,317/361,513 = 361,513/x
  3. Step 3: Cross multiply
    228,317x = 361,513 × 361,513
  4. Step 4: Simplify right side
    228,317x = 130,691,649,169
  5. Step 5: Solve for x
    x = 130,691,649,169/228,317
  6. Step 6: Final answer
    x = 572,413.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.