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Finding the Third Proportional to 329,481 and 719,388

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Solution

The third proportional to 329,481 and 719,388 is: 1,570,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,481 : 719,388 = 719,388 : x
  2. Step 2: Convert to fraction form
    329,481/719,388 = 719,388/x
  3. Step 3: Cross multiply
    329,481x = 719,388 × 719,388
  4. Step 4: Simplify right side
    329,481x = 517,519,094,544
  5. Step 5: Solve for x
    x = 517,519,094,544/329,481
  6. Step 6: Final answer
    x = 1,570,709.98

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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.