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Finding the Third Proportional to 643,194 and 945,522

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Solution

The third proportional to 643,194 and 945,522 is: 1,389,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,194 : 945,522 = 945,522 : x
  2. Step 2: Convert to fraction form
    643,194/945,522 = 945,522/x
  3. Step 3: Cross multiply
    643,194x = 945,522 × 945,522
  4. Step 4: Simplify right side
    643,194x = 894,011,852,484
  5. Step 5: Solve for x
    x = 894,011,852,484/643,194
  6. Step 6: Final answer
    x = 1,389,956.77

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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.