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Finding the Third Proportional to 511,116 and 801,840

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Solution

The third proportional to 511,116 and 801,840 is: 1,257,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,116 : 801,840 = 801,840 : x
  2. Step 2: Convert to fraction form
    511,116/801,840 = 801,840/x
  3. Step 3: Cross multiply
    511,116x = 801,840 × 801,840
  4. Step 4: Simplify right side
    511,116x = 642,947,385,600
  5. Step 5: Solve for x
    x = 642,947,385,600/511,116
  6. Step 6: Final answer
    x = 1,257,928.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.