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Finding the Third Proportional to 450,978 and 713,574

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Solution

The third proportional to 450,978 and 713,574 is: 1,129,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,978 : 713,574 = 713,574 : x
  2. Step 2: Convert to fraction form
    450,978/713,574 = 713,574/x
  3. Step 3: Cross multiply
    450,978x = 713,574 × 713,574
  4. Step 4: Simplify right side
    450,978x = 509,187,853,476
  5. Step 5: Solve for x
    x = 509,187,853,476/450,978
  6. Step 6: Final answer
    x = 1,129,074.71

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.