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Finding the Third Proportional to 478,618 and 741,006

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Solution

The third proportional to 478,618 and 741,006 is: 1,147,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,618 : 741,006 = 741,006 : x
  2. Step 2: Convert to fraction form
    478,618/741,006 = 741,006/x
  3. Step 3: Cross multiply
    478,618x = 741,006 × 741,006
  4. Step 4: Simplify right side
    478,618x = 549,089,892,036
  5. Step 5: Solve for x
    x = 549,089,892,036/478,618
  6. Step 6: Final answer
    x = 1,147,240.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.