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Finding the Third Proportional to 358,258 and 782,012

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Solution

The third proportional to 358,258 and 782,012 is: 1,706,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,258 : 782,012 = 782,012 : x
  2. Step 2: Convert to fraction form
    358,258/782,012 = 782,012/x
  3. Step 3: Cross multiply
    358,258x = 782,012 × 782,012
  4. Step 4: Simplify right side
    358,258x = 611,542,768,144
  5. Step 5: Solve for x
    x = 611,542,768,144/358,258
  6. Step 6: Final answer
    x = 1,706,989.85

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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.