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Finding the Third Proportional to 775,748 and 1,645,400

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Solution

The third proportional to 775,748 and 1,645,400 is: 3,489,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,748 : 1,645,400 = 1,645,400 : x
  2. Step 2: Convert to fraction form
    775,748/1,645,400 = 1,645,400/x
  3. Step 3: Cross multiply
    775,748x = 1,645,400 × 1,645,400
  4. Step 4: Simplify right side
    775,748x = 2,707,341,160,000
  5. Step 5: Solve for x
    x = 2,707,341,160,000/775,748
  6. Step 6: Final answer
    x = 3,489,975.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.