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Finding the Third Proportional to 318,645 and 689,571

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Solution

The third proportional to 318,645 and 689,571 is: 1,492,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,645 : 689,571 = 689,571 : x
  2. Step 2: Convert to fraction form
    318,645/689,571 = 689,571/x
  3. Step 3: Cross multiply
    318,645x = 689,571 × 689,571
  4. Step 4: Simplify right side
    318,645x = 475,508,164,041
  5. Step 5: Solve for x
    x = 475,508,164,041/318,645
  6. Step 6: Final answer
    x = 1,492,281.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.