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Finding the Third Proportional to 329,556 and 719,520

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Solution

The third proportional to 329,556 and 719,520 is: 1,570,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,556 : 719,520 = 719,520 : x
  2. Step 2: Convert to fraction form
    329,556/719,520 = 719,520/x
  3. Step 3: Cross multiply
    329,556x = 719,520 × 719,520
  4. Step 4: Simplify right side
    329,556x = 517,709,030,400
  5. Step 5: Solve for x
    x = 517,709,030,400/329,556
  6. Step 6: Final answer
    x = 1,570,928.86

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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.