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Finding the Third Proportional to 206,642.81 and 319,172.06

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Solution

The third proportional to 206,642.81 and 319,172.06 is: 492,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,642.81 : 319,172.06 = 319,172.06 : x
  2. Step 2: Convert to fraction form
    206,642.81/319,172.06 = 319,172.06/x
  3. Step 3: Cross multiply
    206,642.81x = 319,172.06 × 319,172.06
  4. Step 4: Simplify right side
    206,642.81x = 101,870,805,480.50
  5. Step 5: Solve for x
    x = 101,870,805,480.50/206,642.81
  6. Step 6: Final answer
    x = 492,980.15

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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.