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Finding the Third Proportional to 472,356 and 690,966

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Solution

The third proportional to 472,356 and 690,966 is: 1,010,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,356 : 690,966 = 690,966 : x
  2. Step 2: Convert to fraction form
    472,356/690,966 = 690,966/x
  3. Step 3: Cross multiply
    472,356x = 690,966 × 690,966
  4. Step 4: Simplify right side
    472,356x = 477,434,013,156
  5. Step 5: Solve for x
    x = 477,434,013,156/472,356
  6. Step 6: Final answer
    x = 1,010,750.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.