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Finding the Third Proportional to 513,690 and 681,609

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Solution

The third proportional to 513,690 and 681,609 is: 904,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,690 : 681,609 = 681,609 : x
  2. Step 2: Convert to fraction form
    513,690/681,609 = 681,609/x
  3. Step 3: Cross multiply
    513,690x = 681,609 × 681,609
  4. Step 4: Simplify right side
    513,690x = 464,590,828,881
  5. Step 5: Solve for x
    x = 464,590,828,881/513,690
  6. Step 6: Final answer
    x = 904,418.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.