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Finding the Third Proportional to 315,576 and 671,328

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Solution

The third proportional to 315,576 and 671,328 is: 1,428,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,576 : 671,328 = 671,328 : x
  2. Step 2: Convert to fraction form
    315,576/671,328 = 671,328/x
  3. Step 3: Cross multiply
    315,576x = 671,328 × 671,328
  4. Step 4: Simplify right side
    315,576x = 450,681,283,584
  5. Step 5: Solve for x
    x = 450,681,283,584/315,576
  6. Step 6: Final answer
    x = 1,428,122.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.