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Finding the Third Proportional to 418,132 and 637,030

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Solution

The third proportional to 418,132 and 637,030 is: 970,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,132 : 637,030 = 637,030 : x
  2. Step 2: Convert to fraction form
    418,132/637,030 = 637,030/x
  3. Step 3: Cross multiply
    418,132x = 637,030 × 637,030
  4. Step 4: Simplify right side
    418,132x = 405,807,220,900
  5. Step 5: Solve for x
    x = 405,807,220,900/418,132
  6. Step 6: Final answer
    x = 970,524.19

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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.