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Finding the Third Proportional to 365,148 and 784,620

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Solution

The third proportional to 365,148 and 784,620 is: 1,685,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,148 : 784,620 = 784,620 : x
  2. Step 2: Convert to fraction form
    365,148/784,620 = 784,620/x
  3. Step 3: Cross multiply
    365,148x = 784,620 × 784,620
  4. Step 4: Simplify right side
    365,148x = 615,628,544,400
  5. Step 5: Solve for x
    x = 615,628,544,400/365,148
  6. Step 6: Final answer
    x = 1,685,969.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.