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Finding the Third Proportional to 115,205 and 238,402

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Solution

The third proportional to 115,205 and 238,402 is: 493,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,205 : 238,402 = 238,402 : x
  2. Step 2: Convert to fraction form
    115,205/238,402 = 238,402/x
  3. Step 3: Cross multiply
    115,205x = 238,402 × 238,402
  4. Step 4: Simplify right side
    115,205x = 56,835,513,604
  5. Step 5: Solve for x
    x = 56,835,513,604/115,205
  6. Step 6: Final answer
    x = 493,342.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.