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Finding the Third Proportional to 309,262.13 and 478,857.75

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Solution

The third proportional to 309,262.13 and 478,857.75 is: 741,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,262.13 : 478,857.75 = 478,857.75 : x
  2. Step 2: Convert to fraction form
    309,262.13/478,857.75 = 478,857.75/x
  3. Step 3: Cross multiply
    309,262.13x = 478,857.75 × 478,857.75
  4. Step 4: Simplify right side
    309,262.13x = 229,304,744,735.06
  5. Step 5: Solve for x
    x = 229,304,744,735.06/309,262.13
  6. Step 6: Final answer
    x = 741,457.57

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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.