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Finding the Third Proportional to 258,339.38 and 377,303.06

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Solution

The third proportional to 258,339.38 and 377,303.06 is: 551,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,339.38 : 377,303.06 = 377,303.06 : x
  2. Step 2: Convert to fraction form
    258,339.38/377,303.06 = 377,303.06/x
  3. Step 3: Cross multiply
    258,339.38x = 377,303.06 × 377,303.06
  4. Step 4: Simplify right side
    258,339.38x = 142,357,600,971.88
  5. Step 5: Solve for x
    x = 142,357,600,971.88/258,339.38
  6. Step 6: Final answer
    x = 551,048.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.