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Finding the Third Proportional to 635,136 and 982,560

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Solution

The third proportional to 635,136 and 982,560 is: 1,520,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,136 : 982,560 = 982,560 : x
  2. Step 2: Convert to fraction form
    635,136/982,560 = 982,560/x
  3. Step 3: Cross multiply
    635,136x = 982,560 × 982,560
  4. Step 4: Simplify right side
    635,136x = 965,424,153,600
  5. Step 5: Solve for x
    x = 965,424,153,600/635,136
  6. Step 6: Final answer
    x = 1,520,027.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.