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Finding the Third Proportional to 97,380 and 207,315

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Solution

The third proportional to 97,380 and 207,315 is: 441,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,380 : 207,315 = 207,315 : x
  2. Step 2: Convert to fraction form
    97,380/207,315 = 207,315/x
  3. Step 3: Cross multiply
    97,380x = 207,315 × 207,315
  4. Step 4: Simplify right side
    97,380x = 42,979,509,225
  5. Step 5: Solve for x
    x = 42,979,509,225/97,380
  6. Step 6: Final answer
    x = 441,358.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.