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Finding the Third Proportional to 130,842 and 201,393

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Solution

The third proportional to 130,842 and 201,393 is: 309,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,842 : 201,393 = 201,393 : x
  2. Step 2: Convert to fraction form
    130,842/201,393 = 201,393/x
  3. Step 3: Cross multiply
    130,842x = 201,393 × 201,393
  4. Step 4: Simplify right side
    130,842x = 40,559,140,449
  5. Step 5: Solve for x
    x = 40,559,140,449/130,842
  6. Step 6: Final answer
    x = 309,985.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.