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Finding the Third Proportional to 360,639 and 779,097

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Solution

The third proportional to 360,639 and 779,097 is: 1,683,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,639 : 779,097 = 779,097 : x
  2. Step 2: Convert to fraction form
    360,639/779,097 = 779,097/x
  3. Step 3: Cross multiply
    360,639x = 779,097 × 779,097
  4. Step 4: Simplify right side
    360,639x = 606,992,135,409
  5. Step 5: Solve for x
    x = 606,992,135,409/360,639
  6. Step 6: Final answer
    x = 1,683,101.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.