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Finding the Third Proportional to 277,878 and 430,545

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Solution

The third proportional to 277,878 and 430,545 is: 667,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,878 : 430,545 = 430,545 : x
  2. Step 2: Convert to fraction form
    277,878/430,545 = 430,545/x
  3. Step 3: Cross multiply
    277,878x = 430,545 × 430,545
  4. Step 4: Simplify right side
    277,878x = 185,368,997,025
  5. Step 5: Solve for x
    x = 185,368,997,025/277,878
  6. Step 6: Final answer
    x = 667,087.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.