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Finding the Third Proportional to 329,420 and 719,080

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Solution

The third proportional to 329,420 and 719,080 is: 1,569,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,420 : 719,080 = 719,080 : x
  2. Step 2: Convert to fraction form
    329,420/719,080 = 719,080/x
  3. Step 3: Cross multiply
    329,420x = 719,080 × 719,080
  4. Step 4: Simplify right side
    329,420x = 517,076,046,400
  5. Step 5: Solve for x
    x = 517,076,046,400/329,420
  6. Step 6: Final answer
    x = 1,569,655.90

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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.