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Finding the Third Proportional to 187,380 and 299,700

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Solution

The third proportional to 187,380 and 299,700 is: 479,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,380 : 299,700 = 299,700 : x
  2. Step 2: Convert to fraction form
    187,380/299,700 = 299,700/x
  3. Step 3: Cross multiply
    187,380x = 299,700 × 299,700
  4. Step 4: Simplify right side
    187,380x = 89,820,090,000
  5. Step 5: Solve for x
    x = 89,820,090,000/187,380
  6. Step 6: Final answer
    x = 479,347.26

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.