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Finding the Third Proportional to 207,989 and 297,435

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Solution

The third proportional to 207,989 and 297,435 is: 425,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,989 : 297,435 = 297,435 : x
  2. Step 2: Convert to fraction form
    207,989/297,435 = 297,435/x
  3. Step 3: Cross multiply
    207,989x = 297,435 × 297,435
  4. Step 4: Simplify right side
    207,989x = 88,467,579,225
  5. Step 5: Solve for x
    x = 88,467,579,225/207,989
  6. Step 6: Final answer
    x = 425,347.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.