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Finding the Third Proportional to 643,562 and 846,283

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Solution

The third proportional to 643,562 and 846,283 is: 1,112,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,562 : 846,283 = 846,283 : x
  2. Step 2: Convert to fraction form
    643,562/846,283 = 846,283/x
  3. Step 3: Cross multiply
    643,562x = 846,283 × 846,283
  4. Step 4: Simplify right side
    643,562x = 716,194,916,089
  5. Step 5: Solve for x
    x = 716,194,916,089/643,562
  6. Step 6: Final answer
    x = 1,112,860.79

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.