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Finding the Third Proportional to 643,168 and 945,482

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Solution

The third proportional to 643,168 and 945,482 is: 1,389,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,168 : 945,482 = 945,482 : x
  2. Step 2: Convert to fraction form
    643,168/945,482 = 945,482/x
  3. Step 3: Cross multiply
    643,168x = 945,482 × 945,482
  4. Step 4: Simplify right side
    643,168x = 893,936,212,324
  5. Step 5: Solve for x
    x = 893,936,212,324/643,168
  6. Step 6: Final answer
    x = 1,389,895.35

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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.