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Finding the Third Proportional to 369,220 and 806,780

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Solution

The third proportional to 369,220 and 806,780 is: 1,762,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,220 : 806,780 = 806,780 : x
  2. Step 2: Convert to fraction form
    369,220/806,780 = 806,780/x
  3. Step 3: Cross multiply
    369,220x = 806,780 × 806,780
  4. Step 4: Simplify right side
    369,220x = 650,893,968,400
  5. Step 5: Solve for x
    x = 650,893,968,400/369,220
  6. Step 6: Final answer
    x = 1,762,889.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.