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Finding the Third Proportional to 314,286 and 486,543

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Solution

The third proportional to 314,286 and 486,543 is: 753,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,286 : 486,543 = 486,543 : x
  2. Step 2: Convert to fraction form
    314,286/486,543 = 486,543/x
  3. Step 3: Cross multiply
    314,286x = 486,543 × 486,543
  4. Step 4: Simplify right side
    314,286x = 236,724,090,849
  5. Step 5: Solve for x
    x = 236,724,090,849/314,286
  6. Step 6: Final answer
    x = 753,212.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.