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Finding the Third Proportional to 550,283 and 723,619

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Solution

The third proportional to 550,283 and 723,619 is: 951,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,283 : 723,619 = 723,619 : x
  2. Step 2: Convert to fraction form
    550,283/723,619 = 723,619/x
  3. Step 3: Cross multiply
    550,283x = 723,619 × 723,619
  4. Step 4: Simplify right side
    550,283x = 523,624,457,161
  5. Step 5: Solve for x
    x = 523,624,457,161/550,283
  6. Step 6: Final answer
    x = 951,554.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.