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Finding the Third Proportional to 358,964 and 783,128

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Solution

The third proportional to 358,964 and 783,128 is: 1,708,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,964 : 783,128 = 783,128 : x
  2. Step 2: Convert to fraction form
    358,964/783,128 = 783,128/x
  3. Step 3: Cross multiply
    358,964x = 783,128 × 783,128
  4. Step 4: Simplify right side
    358,964x = 613,289,464,384
  5. Step 5: Solve for x
    x = 613,289,464,384/358,964
  6. Step 6: Final answer
    x = 1,708,498.52

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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.