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Finding the Third Proportional to 307,581 and 465,621

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Solution

The third proportional to 307,581 and 465,621 is: 704,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,581 : 465,621 = 465,621 : x
  2. Step 2: Convert to fraction form
    307,581/465,621 = 465,621/x
  3. Step 3: Cross multiply
    307,581x = 465,621 × 465,621
  4. Step 4: Simplify right side
    307,581x = 216,802,915,641
  5. Step 5: Solve for x
    x = 216,802,915,641/307,581
  6. Step 6: Final answer
    x = 704,864.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.