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Finding the Third Proportional to 207,480 and 320,431

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Solution

The third proportional to 207,480 and 320,431 is: 494,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,480 : 320,431 = 320,431 : x
  2. Step 2: Convert to fraction form
    207,480/320,431 = 320,431/x
  3. Step 3: Cross multiply
    207,480x = 320,431 × 320,431
  4. Step 4: Simplify right side
    207,480x = 102,676,025,761
  5. Step 5: Solve for x
    x = 102,676,025,761/207,480
  6. Step 6: Final answer
    x = 494,871.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.