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Finding the Third Proportional to 207,643.50 and 296,930.81

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Solution

The third proportional to 207,643.50 and 296,930.81 is: 424,611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,643.50 : 296,930.81 = 296,930.81 : x
  2. Step 2: Convert to fraction form
    207,643.50/296,930.81 = 296,930.81/x
  3. Step 3: Cross multiply
    207,643.50x = 296,930.81 × 296,930.81
  4. Step 4: Simplify right side
    207,643.50x = 88,167,907,411.91
  5. Step 5: Solve for x
    x = 88,167,907,411.91/207,643.50
  6. Step 6: Final answer
    x = 424,611.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.