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Finding the Third Proportional to 369,970 and 809,640

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Solution

The third proportional to 369,970 and 809,640 is: 1,771,811.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,970 : 809,640 = 809,640 : x
  2. Step 2: Convert to fraction form
    369,970/809,640 = 809,640/x
  3. Step 3: Cross multiply
    369,970x = 809,640 × 809,640
  4. Step 4: Simplify right side
    369,970x = 655,516,929,600
  5. Step 5: Solve for x
    x = 655,516,929,600/369,970
  6. Step 6: Final answer
    x = 1,771,811.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.