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Finding the Third Proportional to 418,146 and 637,053

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Solution

The third proportional to 418,146 and 637,053 is: 970,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,146 : 637,053 = 637,053 : x
  2. Step 2: Convert to fraction form
    418,146/637,053 = 637,053/x
  3. Step 3: Cross multiply
    418,146x = 637,053 × 637,053
  4. Step 4: Simplify right side
    418,146x = 405,836,524,809
  5. Step 5: Solve for x
    x = 405,836,524,809/418,146
  6. Step 6: Final answer
    x = 970,561.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.