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Finding the Third Proportional to 643,536 and 846,252

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Solution

The third proportional to 643,536 and 846,252 is: 1,112,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,536 : 846,252 = 846,252 : x
  2. Step 2: Convert to fraction form
    643,536/846,252 = 846,252/x
  3. Step 3: Cross multiply
    643,536x = 846,252 × 846,252
  4. Step 4: Simplify right side
    643,536x = 716,142,447,504
  5. Step 5: Solve for x
    x = 716,142,447,504/643,536
  6. Step 6: Final answer
    x = 1,112,824.22

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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.