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Finding the Third Proportional to 361,788 and 783,840

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Solution

The third proportional to 361,788 and 783,840 is: 1,698,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,788 : 783,840 = 783,840 : x
  2. Step 2: Convert to fraction form
    361,788/783,840 = 783,840/x
  3. Step 3: Cross multiply
    361,788x = 783,840 × 783,840
  4. Step 4: Simplify right side
    361,788x = 614,405,145,600
  5. Step 5: Solve for x
    x = 614,405,145,600/361,788
  6. Step 6: Final answer
    x = 1,698,246.34

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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.