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Finding the Third Proportional to 642,621.94 and 1,385,668.69

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Solution

The third proportional to 642,621.94 and 1,385,668.69 is: 2,987,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,621.94 : 1,385,668.69 = 1,385,668.69 : x
  2. Step 2: Convert to fraction form
    642,621.94/1,385,668.69 = 1,385,668.69/x
  3. Step 3: Cross multiply
    642,621.94x = 1,385,668.69 × 1,385,668.69
  4. Step 4: Simplify right side
    642,621.94x = 1,920,077,711,517.97
  5. Step 5: Solve for x
    x = 1,920,077,711,517.97/642,621.94
  6. Step 6: Final answer
    x = 2,987,880.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.