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Finding the Third Proportional to 96,810 and 208,454

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Solution

The third proportional to 96,810 and 208,454 is: 448,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,810 : 208,454 = 208,454 : x
  2. Step 2: Convert to fraction form
    96,810/208,454 = 208,454/x
  3. Step 3: Cross multiply
    96,810x = 208,454 × 208,454
  4. Step 4: Simplify right side
    96,810x = 43,453,070,116
  5. Step 5: Solve for x
    x = 43,453,070,116/96,810
  6. Step 6: Final answer
    x = 448,848.98

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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.