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Finding the Third Proportional to 455,712 and 981,545

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Solution

The third proportional to 455,712 and 981,545 is: 2,114,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,712 : 981,545 = 981,545 : x
  2. Step 2: Convert to fraction form
    455,712/981,545 = 981,545/x
  3. Step 3: Cross multiply
    455,712x = 981,545 × 981,545
  4. Step 4: Simplify right side
    455,712x = 963,430,587,025
  5. Step 5: Solve for x
    x = 963,430,587,025/455,712
  6. Step 6: Final answer
    x = 2,114,121.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.