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Finding the Third Proportional to 30,957 and 45,138

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Solution

The third proportional to 30,957 and 45,138 is: 65,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957 : 45,138 = 45,138 : x
  2. Step 2: Convert to fraction form
    30,957/45,138 = 45,138/x
  3. Step 3: Cross multiply
    30,957x = 45,138 × 45,138
  4. Step 4: Simplify right side
    30,957x = 2,037,439,044
  5. Step 5: Solve for x
    x = 2,037,439,044/30,957
  6. Step 6: Final answer
    x = 65,815.13

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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.