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Finding the Third Proportional to 329,391 and 719,018

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Solution

The third proportional to 329,391 and 719,018 is: 1,569,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,391 : 719,018 = 719,018 : x
  2. Step 2: Convert to fraction form
    329,391/719,018 = 719,018/x
  3. Step 3: Cross multiply
    329,391x = 719,018 × 719,018
  4. Step 4: Simplify right side
    329,391x = 516,986,884,324
  5. Step 5: Solve for x
    x = 516,986,884,324/329,391
  6. Step 6: Final answer
    x = 1,569,523.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.