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Finding the Third Proportional to 654,380 and 981,570

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Solution

The third proportional to 654,380 and 981,570 is: 1,472,355

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,380 : 981,570 = 981,570 : x
  2. Step 2: Convert to fraction form
    654,380/981,570 = 981,570/x
  3. Step 3: Cross multiply
    654,380x = 981,570 × 981,570
  4. Step 4: Simplify right side
    654,380x = 963,479,664,900
  5. Step 5: Solve for x
    x = 963,479,664,900/654,380
  6. Step 6: Final answer
    x = 1,472,355

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.