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Finding the Third Proportional to 358,493 and 780,208

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Solution

The third proportional to 358,493 and 780,208 is: 1,698,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,493 : 780,208 = 780,208 : x
  2. Step 2: Convert to fraction form
    358,493/780,208 = 780,208/x
  3. Step 3: Cross multiply
    358,493x = 780,208 × 780,208
  4. Step 4: Simplify right side
    358,493x = 608,724,523,264
  5. Step 5: Solve for x
    x = 608,724,523,264/358,493
  6. Step 6: Final answer
    x = 1,698,009.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.