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Finding the Third Proportional to 318,636 and 695,241

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Solution

The third proportional to 318,636 and 695,241 is: 1,516,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,636 : 695,241 = 695,241 : x
  2. Step 2: Convert to fraction form
    318,636/695,241 = 695,241/x
  3. Step 3: Cross multiply
    318,636x = 695,241 × 695,241
  4. Step 4: Simplify right side
    318,636x = 483,360,048,081
  5. Step 5: Solve for x
    x = 483,360,048,081/318,636
  6. Step 6: Final answer
    x = 1,516,966.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.