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Finding the Third Proportional to 539,402 and 818,945

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Solution

The third proportional to 539,402 and 818,945 is: 1,243,360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,402 : 818,945 = 818,945 : x
  2. Step 2: Convert to fraction form
    539,402/818,945 = 818,945/x
  3. Step 3: Cross multiply
    539,402x = 818,945 × 818,945
  4. Step 4: Simplify right side
    539,402x = 670,670,913,025
  5. Step 5: Solve for x
    x = 670,670,913,025/539,402
  6. Step 6: Final answer
    x = 1,243,360.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.