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Finding the Third Proportional to 425,968 and 646,728

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Solution

The third proportional to 425,968 and 646,728 is: 981,897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,968 : 646,728 = 646,728 : x
  2. Step 2: Convert to fraction form
    425,968/646,728 = 646,728/x
  3. Step 3: Cross multiply
    425,968x = 646,728 × 646,728
  4. Step 4: Simplify right side
    425,968x = 418,257,105,984
  5. Step 5: Solve for x
    x = 418,257,105,984/425,968
  6. Step 6: Final answer
    x = 981,897.95

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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.