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Finding the Third Proportional to 277,887 and 430,560

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Solution

The third proportional to 277,887 and 430,560 is: 667,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,887 : 430,560 = 430,560 : x
  2. Step 2: Convert to fraction form
    277,887/430,560 = 430,560/x
  3. Step 3: Cross multiply
    277,887x = 430,560 × 430,560
  4. Step 4: Simplify right side
    277,887x = 185,381,913,600
  5. Step 5: Solve for x
    x = 185,381,913,600/277,887
  6. Step 6: Final answer
    x = 667,112.58

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Why These Related Problems?

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