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Finding the Third Proportional to 392,729.25 and 604,402.88

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Solution

The third proportional to 392,729.25 and 604,402.88 is: 930,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,729.25 : 604,402.88 = 604,402.88 : x
  2. Step 2: Convert to fraction form
    392,729.25/604,402.88 = 604,402.88/x
  3. Step 3: Cross multiply
    392,729.25x = 604,402.88 × 604,402.88
  4. Step 4: Simplify right side
    392,729.25x = 365,302,835,308.27
  5. Step 5: Solve for x
    x = 365,302,835,308.27/392,729.25
  6. Step 6: Final answer
    x = 930,164.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.