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Finding the Third Proportional to 360,316 and 782,168

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Solution

The third proportional to 360,316 and 782,168 is: 1,697,917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,316 : 782,168 = 782,168 : x
  2. Step 2: Convert to fraction form
    360,316/782,168 = 782,168/x
  3. Step 3: Cross multiply
    360,316x = 782,168 × 782,168
  4. Step 4: Simplify right side
    360,316x = 611,786,780,224
  5. Step 5: Solve for x
    x = 611,786,780,224/360,316
  6. Step 6: Final answer
    x = 1,697,917.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.