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Finding the Third Proportional to 478,564.77 and 741,375.91

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Solution

The third proportional to 478,564.77 and 741,375.91 is: 1,148,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,564.77 : 741,375.91 = 741,375.91 : x
  2. Step 2: Convert to fraction form
    478,564.77/741,375.91 = 741,375.91/x
  3. Step 3: Cross multiply
    478,564.77x = 741,375.91 × 741,375.91
  4. Step 4: Simplify right side
    478,564.77x = 549,638,245,952.01
  5. Step 5: Solve for x
    x = 549,638,245,952.01/478,564.77
  6. Step 6: Final answer
    x = 1,148,513.81

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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.