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Finding the Third Proportional to 258,320.15 and 407,291.37

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Solution

The third proportional to 258,320.15 and 407,291.37 is: 642,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,320.15 : 407,291.37 = 407,291.37 : x
  2. Step 2: Convert to fraction form
    258,320.15/407,291.37 = 407,291.37/x
  3. Step 3: Cross multiply
    258,320.15x = 407,291.37 × 407,291.37
  4. Step 4: Simplify right side
    258,320.15x = 165,886,263,751.65
  5. Step 5: Solve for x
    x = 165,886,263,751.65/258,320.15
  6. Step 6: Final answer
    x = 642,173.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.