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Finding the Third Proportional to 329,498 and 719,420

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Solution

The third proportional to 329,498 and 719,420 is: 1,570,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,498 : 719,420 = 719,420 : x
  2. Step 2: Convert to fraction form
    329,498/719,420 = 719,420/x
  3. Step 3: Cross multiply
    329,498x = 719,420 × 719,420
  4. Step 4: Simplify right side
    329,498x = 517,565,136,400
  5. Step 5: Solve for x
    x = 517,565,136,400/329,498
  6. Step 6: Final answer
    x = 1,570,768.67

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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.