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Finding the Third Proportional to 330,012 and 719,280

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Solution

The third proportional to 330,012 and 719,280 is: 1,567,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,012 : 719,280 = 719,280 : x
  2. Step 2: Convert to fraction form
    330,012/719,280 = 719,280/x
  3. Step 3: Cross multiply
    330,012x = 719,280 × 719,280
  4. Step 4: Simplify right side
    330,012x = 517,363,718,400
  5. Step 5: Solve for x
    x = 517,363,718,400/330,012
  6. Step 6: Final answer
    x = 1,567,711.84

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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.