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Finding the Third Proportional to 138,300 and 201,402

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Solution

The third proportional to 138,300 and 201,402 is: 293,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,300 : 201,402 = 201,402 : x
  2. Step 2: Convert to fraction form
    138,300/201,402 = 201,402/x
  3. Step 3: Cross multiply
    138,300x = 201,402 × 201,402
  4. Step 4: Simplify right side
    138,300x = 40,562,765,604
  5. Step 5: Solve for x
    x = 40,562,765,604/138,300
  6. Step 6: Final answer
    x = 293,295.49

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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.