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Finding the Third Proportional to 207,030 and 313,650

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Solution

The third proportional to 207,030 and 313,650 is: 475,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,030 : 313,650 = 313,650 : x
  2. Step 2: Convert to fraction form
    207,030/313,650 = 313,650/x
  3. Step 3: Cross multiply
    207,030x = 313,650 × 313,650
  4. Step 4: Simplify right side
    207,030x = 98,376,322,500
  5. Step 5: Solve for x
    x = 98,376,322,500/207,030
  6. Step 6: Final answer
    x = 475,179.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.