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Finding the Third Proportional to 292,808.25 and 397,740.38

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Solution

The third proportional to 292,808.25 and 397,740.38 is: 540,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,808.25 : 397,740.38 = 397,740.38 : x
  2. Step 2: Convert to fraction form
    292,808.25/397,740.38 = 397,740.38/x
  3. Step 3: Cross multiply
    292,808.25x = 397,740.38 × 397,740.38
  4. Step 4: Simplify right side
    292,808.25x = 158,197,405,905.14
  5. Step 5: Solve for x
    x = 158,197,405,905.14/292,808.25
  6. Step 6: Final answer
    x = 540,276.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.