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Finding the Third Proportional to 247,284 and 361,630

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Solution

The third proportional to 247,284 and 361,630 is: 528,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,284 : 361,630 = 361,630 : x
  2. Step 2: Convert to fraction form
    247,284/361,630 = 361,630/x
  3. Step 3: Cross multiply
    247,284x = 361,630 × 361,630
  4. Step 4: Simplify right side
    247,284x = 130,776,256,900
  5. Step 5: Solve for x
    x = 130,776,256,900/247,284
  6. Step 6: Final answer
    x = 528,850.46

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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.