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Finding the Third Proportional to 358,971 and 783,138

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Solution

The third proportional to 358,971 and 783,138 is: 1,708,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,971 : 783,138 = 783,138 : x
  2. Step 2: Convert to fraction form
    358,971/783,138 = 783,138/x
  3. Step 3: Cross multiply
    358,971x = 783,138 × 783,138
  4. Step 4: Simplify right side
    358,971x = 613,305,127,044
  5. Step 5: Solve for x
    x = 613,305,127,044/358,971
  6. Step 6: Final answer
    x = 1,708,508.84

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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.