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Finding the Third Proportional to 328,914 and 718,699

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Solution

The third proportional to 328,914 and 718,699 is: 1,570,405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,914 : 718,699 = 718,699 : x
  2. Step 2: Convert to fraction form
    328,914/718,699 = 718,699/x
  3. Step 3: Cross multiply
    328,914x = 718,699 × 718,699
  4. Step 4: Simplify right side
    328,914x = 516,528,252,601
  5. Step 5: Solve for x
    x = 516,528,252,601/328,914
  6. Step 6: Final answer
    x = 1,570,405.19

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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.