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Finding the Third Proportional to 328,807 and 718,494

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Solution

The third proportional to 328,807 and 718,494 is: 1,570,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,807 : 718,494 = 718,494 : x
  2. Step 2: Convert to fraction form
    328,807/718,494 = 718,494/x
  3. Step 3: Cross multiply
    328,807x = 718,494 × 718,494
  4. Step 4: Simplify right side
    328,807x = 516,233,628,036
  5. Step 5: Solve for x
    x = 516,233,628,036/328,807
  6. Step 6: Final answer
    x = 1,570,020.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.