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Finding the Third Proportional to 130,512 and 207,429

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Solution

The third proportional to 130,512 and 207,429 is: 329,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,512 : 207,429 = 207,429 : x
  2. Step 2: Convert to fraction form
    130,512/207,429 = 207,429/x
  3. Step 3: Cross multiply
    130,512x = 207,429 × 207,429
  4. Step 4: Simplify right side
    130,512x = 43,026,790,041
  5. Step 5: Solve for x
    x = 43,026,790,041/130,512
  6. Step 6: Final answer
    x = 329,676.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.