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Finding the Third Proportional to 97,155 and 209,072

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Solution

The third proportional to 97,155 and 209,072 is: 449,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,155 : 209,072 = 209,072 : x
  2. Step 2: Convert to fraction form
    97,155/209,072 = 209,072/x
  3. Step 3: Cross multiply
    97,155x = 209,072 × 209,072
  4. Step 4: Simplify right side
    97,155x = 43,711,101,184
  5. Step 5: Solve for x
    x = 43,711,101,184/97,155
  6. Step 6: Final answer
    x = 449,910.98

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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.