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Finding the Third Proportional to 738,136 and 1,138,740

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Solution

The third proportional to 738,136 and 1,138,740 is: 1,756,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,136 : 1,138,740 = 1,138,740 : x
  2. Step 2: Convert to fraction form
    738,136/1,138,740 = 1,138,740/x
  3. Step 3: Cross multiply
    738,136x = 1,138,740 × 1,138,740
  4. Step 4: Simplify right side
    738,136x = 1,296,728,787,600
  5. Step 5: Solve for x
    x = 1,296,728,787,600/738,136
  6. Step 6: Final answer
    x = 1,756,761.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.