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Finding the Third Proportional to 309,136 and 651,476

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Solution

The third proportional to 309,136 and 651,476 is: 1,372,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,136 : 651,476 = 651,476 : x
  2. Step 2: Convert to fraction form
    309,136/651,476 = 651,476/x
  3. Step 3: Cross multiply
    309,136x = 651,476 × 651,476
  4. Step 4: Simplify right side
    309,136x = 424,420,978,576
  5. Step 5: Solve for x
    x = 424,420,978,576/309,136
  6. Step 6: Final answer
    x = 1,372,926.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.