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Finding the Third Proportional to 503,415 and 981,315

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Solution

The third proportional to 503,415 and 981,315 is: 1,912,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,415 : 981,315 = 981,315 : x
  2. Step 2: Convert to fraction form
    503,415/981,315 = 981,315/x
  3. Step 3: Cross multiply
    503,415x = 981,315 × 981,315
  4. Step 4: Simplify right side
    503,415x = 962,979,129,225
  5. Step 5: Solve for x
    x = 962,979,129,225/503,415
  6. Step 6: Final answer
    x = 1,912,893.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.