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Finding the Third Proportional to 418,128 and 637,024

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Solution

The third proportional to 418,128 and 637,024 is: 970,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,128 : 637,024 = 637,024 : x
  2. Step 2: Convert to fraction form
    418,128/637,024 = 637,024/x
  3. Step 3: Cross multiply
    418,128x = 637,024 × 637,024
  4. Step 4: Simplify right side
    418,128x = 405,799,576,576
  5. Step 5: Solve for x
    x = 405,799,576,576/418,128
  6. Step 6: Final answer
    x = 970,515.19

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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.