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Finding the Third Proportional to 643,538 and 846,255

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Solution

The third proportional to 643,538 and 846,255 is: 1,112,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,538 : 846,255 = 846,255 : x
  2. Step 2: Convert to fraction form
    643,538/846,255 = 846,255/x
  3. Step 3: Cross multiply
    643,538x = 846,255 × 846,255
  4. Step 4: Simplify right side
    643,538x = 716,147,525,025
  5. Step 5: Solve for x
    x = 716,147,525,025/643,538
  6. Step 6: Final answer
    x = 1,112,828.65

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.