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Finding the Third Proportional to 775,470 and 1,137,645

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Solution

The third proportional to 775,470 and 1,137,645 is: 1,668,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,470 : 1,137,645 = 1,137,645 : x
  2. Step 2: Convert to fraction form
    775,470/1,137,645 = 1,137,645/x
  3. Step 3: Cross multiply
    775,470x = 1,137,645 × 1,137,645
  4. Step 4: Simplify right side
    775,470x = 1,294,236,146,025
  5. Step 5: Solve for x
    x = 1,294,236,146,025/775,470
  6. Step 6: Final answer
    x = 1,668,969.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.