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Finding the Third Proportional to 277,830.16 and 418,936.51

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Solution

The third proportional to 277,830.16 and 418,936.51 is: 631,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,830.16 : 418,936.51 = 418,936.51 : x
  2. Step 2: Convert to fraction form
    277,830.16/418,936.51 = 418,936.51/x
  3. Step 3: Cross multiply
    277,830.16x = 418,936.51 × 418,936.51
  4. Step 4: Simplify right side
    277,830.16x = 175,507,798,396.36
  5. Step 5: Solve for x
    x = 175,507,798,396.36/277,830.16
  6. Step 6: Final answer
    x = 631,708.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.