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Finding the Third Proportional to 210,984 and 454,960.50

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Solution

The third proportional to 210,984 and 454,960.50 is: 981,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,984 : 454,960.50 = 454,960.50 : x
  2. Step 2: Convert to fraction form
    210,984/454,960.50 = 454,960.50/x
  3. Step 3: Cross multiply
    210,984x = 454,960.50 × 454,960.50
  4. Step 4: Simplify right side
    210,984x = 206,989,056,560.25
  5. Step 5: Solve for x
    x = 206,989,056,560.25/210,984
  6. Step 6: Final answer
    x = 981,065.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.