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Finding the Third Proportional to 187,278 and 412,731

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Solution

The third proportional to 187,278 and 412,731 is: 909,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,278 : 412,731 = 412,731 : x
  2. Step 2: Convert to fraction form
    187,278/412,731 = 412,731/x
  3. Step 3: Cross multiply
    187,278x = 412,731 × 412,731
  4. Step 4: Simplify right side
    187,278x = 170,346,878,361
  5. Step 5: Solve for x
    x = 170,346,878,361/187,278
  6. Step 6: Final answer
    x = 909,593.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.