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Finding the Third Proportional to 228,319 and 361,515

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Solution

The third proportional to 228,319 and 361,515 is: 572,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,319 : 361,515 = 361,515 : x
  2. Step 2: Convert to fraction form
    228,319/361,515 = 361,515/x
  3. Step 3: Cross multiply
    228,319x = 361,515 × 361,515
  4. Step 4: Simplify right side
    228,319x = 130,693,095,225
  5. Step 5: Solve for x
    x = 130,693,095,225/228,319
  6. Step 6: Final answer
    x = 572,414.45

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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.