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Finding the Third Proportional to 399,984.75 and 660,646.13

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Solution

The third proportional to 399,984.75 and 660,646.13 is: 1,091,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,984.75 : 660,646.13 = 660,646.13 : x
  2. Step 2: Convert to fraction form
    399,984.75/660,646.13 = 660,646.13/x
  3. Step 3: Cross multiply
    399,984.75x = 660,646.13 × 660,646.13
  4. Step 4: Simplify right side
    399,984.75x = 436,453,302,477.52
  5. Step 5: Solve for x
    x = 436,453,302,477.52/399,984.75
  6. Step 6: Final answer
    x = 1,091,174.86

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.