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Finding the Third Proportional to 643,167 and 945,480

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Solution

The third proportional to 643,167 and 945,480 is: 1,389,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,167 : 945,480 = 945,480 : x
  2. Step 2: Convert to fraction form
    643,167/945,480 = 945,480/x
  3. Step 3: Cross multiply
    643,167x = 945,480 × 945,480
  4. Step 4: Simplify right side
    643,167x = 893,932,430,400
  5. Step 5: Solve for x
    x = 893,932,430,400/643,167
  6. Step 6: Final answer
    x = 1,389,891.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.