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Finding the Third Proportional to 654,370 and 981,555

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Solution

The third proportional to 654,370 and 981,555 is: 1,472,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,370 : 981,555 = 981,555 : x
  2. Step 2: Convert to fraction form
    654,370/981,555 = 981,555/x
  3. Step 3: Cross multiply
    654,370x = 981,555 × 981,555
  4. Step 4: Simplify right side
    654,370x = 963,450,218,025
  5. Step 5: Solve for x
    x = 963,450,218,025/654,370
  6. Step 6: Final answer
    x = 1,472,332.50

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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.