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Finding the Third Proportional to 475,238 and 691,455

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Solution

The third proportional to 475,238 and 691,455 is: 1,006,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,238 : 691,455 = 691,455 : x
  2. Step 2: Convert to fraction form
    475,238/691,455 = 691,455/x
  3. Step 3: Cross multiply
    475,238x = 691,455 × 691,455
  4. Step 4: Simplify right side
    475,238x = 478,110,017,025
  5. Step 5: Solve for x
    x = 478,110,017,025/475,238
  6. Step 6: Final answer
    x = 1,006,043.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.