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Finding the Third Proportional to 321,579 and 719,280

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Solution

The third proportional to 321,579 and 719,280 is: 1,608,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,579 : 719,280 = 719,280 : x
  2. Step 2: Convert to fraction form
    321,579/719,280 = 719,280/x
  3. Step 3: Cross multiply
    321,579x = 719,280 × 719,280
  4. Step 4: Simplify right side
    321,579x = 517,363,718,400
  5. Step 5: Solve for x
    x = 517,363,718,400/321,579
  6. Step 6: Final answer
    x = 1,608,823.08

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.