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Finding the Third Proportional to 648,012 and 872,349

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Solution

The third proportional to 648,012 and 872,349 is: 1,174,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,012 : 872,349 = 872,349 : x
  2. Step 2: Convert to fraction form
    648,012/872,349 = 872,349/x
  3. Step 3: Cross multiply
    648,012x = 872,349 × 872,349
  4. Step 4: Simplify right side
    648,012x = 760,992,777,801
  5. Step 5: Solve for x
    x = 760,992,777,801/648,012
  6. Step 6: Final answer
    x = 1,174,349.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.