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Finding the Third Proportional to 208,020 and 447,160

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Solution

The third proportional to 208,020 and 447,160 is: 961,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,020 : 447,160 = 447,160 : x
  2. Step 2: Convert to fraction form
    208,020/447,160 = 447,160/x
  3. Step 3: Cross multiply
    208,020x = 447,160 × 447,160
  4. Step 4: Simplify right side
    208,020x = 199,952,065,600
  5. Step 5: Solve for x
    x = 199,952,065,600/208,020
  6. Step 6: Final answer
    x = 961,215.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.