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Finding the Third Proportional to 277,178 and 418,263

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Solution

The third proportional to 277,178 and 418,263 is: 631,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,178 : 418,263 = 418,263 : x
  2. Step 2: Convert to fraction form
    277,178/418,263 = 418,263/x
  3. Step 3: Cross multiply
    277,178x = 418,263 × 418,263
  4. Step 4: Simplify right side
    277,178x = 174,943,937,169
  5. Step 5: Solve for x
    x = 174,943,937,169/277,178
  6. Step 6: Final answer
    x = 631,160.98

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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.