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Finding the Third Proportional to 358,842 and 777,138

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Solution

The third proportional to 358,842 and 777,138 is: 1,683,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,842 : 777,138 = 777,138 : x
  2. Step 2: Convert to fraction form
    358,842/777,138 = 777,138/x
  3. Step 3: Cross multiply
    358,842x = 777,138 × 777,138
  4. Step 4: Simplify right side
    358,842x = 603,943,471,044
  5. Step 5: Solve for x
    x = 603,943,471,044/358,842
  6. Step 6: Final answer
    x = 1,683,034.51

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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.