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Finding the Third Proportional to 500,109 and 714,645

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Solution

The third proportional to 500,109 and 714,645 is: 1,021,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,109 : 714,645 = 714,645 : x
  2. Step 2: Convert to fraction form
    500,109/714,645 = 714,645/x
  3. Step 3: Cross multiply
    500,109x = 714,645 × 714,645
  4. Step 4: Simplify right side
    500,109x = 510,717,476,025
  5. Step 5: Solve for x
    x = 510,717,476,025/500,109
  6. Step 6: Final answer
    x = 1,021,212.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.