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Finding the Third Proportional to 371,184 and 809,280

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Solution

The third proportional to 371,184 and 809,280 is: 1,764,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,184 : 809,280 = 809,280 : x
  2. Step 2: Convert to fraction form
    371,184/809,280 = 809,280/x
  3. Step 3: Cross multiply
    371,184x = 809,280 × 809,280
  4. Step 4: Simplify right side
    371,184x = 654,934,118,400
  5. Step 5: Solve for x
    x = 654,934,118,400/371,184
  6. Step 6: Final answer
    x = 1,764,445.98

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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.