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Finding the Third Proportional to 665,021.72 and 1,031,840.34

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Solution

The third proportional to 665,021.72 and 1,031,840.34 is: 1,600,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,021.72 : 1,031,840.34 = 1,031,840.34 : x
  2. Step 2: Convert to fraction form
    665,021.72/1,031,840.34 = 1,031,840.34/x
  3. Step 3: Cross multiply
    665,021.72x = 1,031,840.34 × 1,031,840.34
  4. Step 4: Simplify right side
    665,021.72x = 1,064,694,494,990.12
  5. Step 5: Solve for x
    x = 1,064,694,494,990.12/665,021.72
  6. Step 6: Final answer
    x = 1,600,992.07

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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.