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Finding the Third Proportional to 465,636 and 689,724

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Solution

The third proportional to 465,636 and 689,724 is: 1,021,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,636 : 689,724 = 689,724 : x
  2. Step 2: Convert to fraction form
    465,636/689,724 = 689,724/x
  3. Step 3: Cross multiply
    465,636x = 689,724 × 689,724
  4. Step 4: Simplify right side
    465,636x = 475,719,196,176
  5. Step 5: Solve for x
    x = 475,719,196,176/465,636
  6. Step 6: Final answer
    x = 1,021,654.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.