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Finding the Third Proportional to 307,604 and 658,947

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Solution

The third proportional to 307,604 and 658,947 is: 1,411,591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,604 : 658,947 = 658,947 : x
  2. Step 2: Convert to fraction form
    307,604/658,947 = 658,947/x
  3. Step 3: Cross multiply
    307,604x = 658,947 × 658,947
  4. Step 4: Simplify right side
    307,604x = 434,211,148,809
  5. Step 5: Solve for x
    x = 434,211,148,809/307,604
  6. Step 6: Final answer
    x = 1,411,591.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.