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Finding the Third Proportional to 578,294.44 and 864,109.69

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Solution

The third proportional to 578,294.44 and 864,109.69 is: 1,291,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,294.44 : 864,109.69 = 864,109.69 : x
  2. Step 2: Convert to fraction form
    578,294.44/864,109.69 = 864,109.69/x
  3. Step 3: Cross multiply
    578,294.44x = 864,109.69 × 864,109.69
  4. Step 4: Simplify right side
    578,294.44x = 746,685,552,031.35
  5. Step 5: Solve for x
    x = 746,685,552,031.35/578,294.44
  6. Step 6: Final answer
    x = 1,291,185.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.