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Finding the Third Proportional to 182,778 and 266,391

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Solution

The third proportional to 182,778 and 266,391 is: 388,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,778 : 266,391 = 266,391 : x
  2. Step 2: Convert to fraction form
    182,778/266,391 = 266,391/x
  3. Step 3: Cross multiply
    182,778x = 266,391 × 266,391
  4. Step 4: Simplify right side
    182,778x = 70,964,164,881
  5. Step 5: Solve for x
    x = 70,964,164,881/182,778
  6. Step 6: Final answer
    x = 388,253.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.