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Finding the Third Proportional to 277,555 and 654,989

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Solution

The third proportional to 277,555 and 654,989 is: 1,545,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,555 : 654,989 = 654,989 : x
  2. Step 2: Convert to fraction form
    277,555/654,989 = 654,989/x
  3. Step 3: Cross multiply
    277,555x = 654,989 × 654,989
  4. Step 4: Simplify right side
    277,555x = 429,010,590,121
  5. Step 5: Solve for x
    x = 429,010,590,121/277,555
  6. Step 6: Final answer
    x = 1,545,677.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.