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Finding the Third Proportional to 258,039 and 390,936.38

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Solution

The third proportional to 258,039 and 390,936.38 is: 592,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,039 : 390,936.38 = 390,936.38 : x
  2. Step 2: Convert to fraction form
    258,039/390,936.38 = 390,936.38/x
  3. Step 3: Cross multiply
    258,039x = 390,936.38 × 390,936.38
  4. Step 4: Simplify right side
    258,039x = 152,831,249,298.14
  5. Step 5: Solve for x
    x = 152,831,249,298.14/258,039
  6. Step 6: Final answer
    x = 592,279.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.