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Finding the Third Proportional to 369,219 and 553,212

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Solution

The third proportional to 369,219 and 553,212 is: 828,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,219 : 553,212 = 553,212 : x
  2. Step 2: Convert to fraction form
    369,219/553,212 = 553,212/x
  3. Step 3: Cross multiply
    369,219x = 553,212 × 553,212
  4. Step 4: Simplify right side
    369,219x = 306,043,516,944
  5. Step 5: Solve for x
    x = 306,043,516,944/369,219
  6. Step 6: Final answer
    x = 828,894.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.