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Finding the Third Proportional to 358,657 and 776,690

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Solution

The third proportional to 358,657 and 776,690 is: 1,681,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,657 : 776,690 = 776,690 : x
  2. Step 2: Convert to fraction form
    358,657/776,690 = 776,690/x
  3. Step 3: Cross multiply
    358,657x = 776,690 × 776,690
  4. Step 4: Simplify right side
    358,657x = 603,247,356,100
  5. Step 5: Solve for x
    x = 603,247,356,100/358,657
  6. Step 6: Final answer
    x = 1,681,961.75

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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.