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Finding the Third Proportional to 258,904.13 and 349,795.69

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Solution

The third proportional to 258,904.13 and 349,795.69 is: 472,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,904.13 : 349,795.69 = 349,795.69 : x
  2. Step 2: Convert to fraction form
    258,904.13/349,795.69 = 349,795.69/x
  3. Step 3: Cross multiply
    258,904.13x = 349,795.69 × 349,795.69
  4. Step 4: Simplify right side
    258,904.13x = 122,357,022,993.60
  5. Step 5: Solve for x
    x = 122,357,022,993.60/258,904.13
  6. Step 6: Final answer
    x = 472,595.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.