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Finding the Third Proportional to 130,820 and 201,333

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Solution

The third proportional to 130,820 and 201,333 is: 309,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,820 : 201,333 = 201,333 : x
  2. Step 2: Convert to fraction form
    130,820/201,333 = 201,333/x
  3. Step 3: Cross multiply
    130,820x = 201,333 × 201,333
  4. Step 4: Simplify right side
    130,820x = 40,534,976,889
  5. Step 5: Solve for x
    x = 40,534,976,889/130,820
  6. Step 6: Final answer
    x = 309,853.06

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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.