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Finding the Third Proportional to 97,316 and 209,640

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Solution

The third proportional to 97,316 and 209,640 is: 451,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,316 : 209,640 = 209,640 : x
  2. Step 2: Convert to fraction form
    97,316/209,640 = 209,640/x
  3. Step 3: Cross multiply
    97,316x = 209,640 × 209,640
  4. Step 4: Simplify right side
    97,316x = 43,948,929,600
  5. Step 5: Solve for x
    x = 43,948,929,600/97,316
  6. Step 6: Final answer
    x = 451,610.52

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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.