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Finding the Third Proportional to 407,656 and 864,642

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Solution

The third proportional to 407,656 and 864,642 is: 1,833,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,656 : 864,642 = 864,642 : x
  2. Step 2: Convert to fraction form
    407,656/864,642 = 864,642/x
  3. Step 3: Cross multiply
    407,656x = 864,642 × 864,642
  4. Step 4: Simplify right side
    407,656x = 747,605,788,164
  5. Step 5: Solve for x
    x = 747,605,788,164/407,656
  6. Step 6: Final answer
    x = 1,833,913.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.