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Finding the Third Proportional to 318,754 and 693,590

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Solution

The third proportional to 318,754 and 693,590 is: 1,509,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,754 : 693,590 = 693,590 : x
  2. Step 2: Convert to fraction form
    318,754/693,590 = 693,590/x
  3. Step 3: Cross multiply
    318,754x = 693,590 × 693,590
  4. Step 4: Simplify right side
    318,754x = 481,067,088,100
  5. Step 5: Solve for x
    x = 481,067,088,100/318,754
  6. Step 6: Final answer
    x = 1,509,211.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.