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Finding the Third Proportional to 207,810 and 297,153

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Solution

The third proportional to 207,810 and 297,153 is: 424,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,810 : 297,153 = 297,153 : x
  2. Step 2: Convert to fraction form
    207,810/297,153 = 297,153/x
  3. Step 3: Cross multiply
    207,810x = 297,153 × 297,153
  4. Step 4: Simplify right side
    207,810x = 88,299,905,409
  5. Step 5: Solve for x
    x = 88,299,905,409/207,810
  6. Step 6: Final answer
    x = 424,906.91

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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.