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Finding the Third Proportional to 357,111 and 552,699

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Solution

The third proportional to 357,111 and 552,699 is: 855,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,111 : 552,699 = 552,699 : x
  2. Step 2: Convert to fraction form
    357,111/552,699 = 552,699/x
  3. Step 3: Cross multiply
    357,111x = 552,699 × 552,699
  4. Step 4: Simplify right side
    357,111x = 305,476,184,601
  5. Step 5: Solve for x
    x = 305,476,184,601/357,111
  6. Step 6: Final answer
    x = 855,409.62

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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.