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Finding the Third Proportional to 287,138 and 427,901

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Solution

The third proportional to 287,138 and 427,901 is: 637,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,138 : 427,901 = 427,901 : x
  2. Step 2: Convert to fraction form
    287,138/427,901 = 427,901/x
  3. Step 3: Cross multiply
    287,138x = 427,901 × 427,901
  4. Step 4: Simplify right side
    287,138x = 183,099,265,801
  5. Step 5: Solve for x
    x = 183,099,265,801/287,138
  6. Step 6: Final answer
    x = 637,669.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.