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Finding the Third Proportional to 388,124 and 617,178

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Solution

The third proportional to 388,124 and 617,178 is: 981,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,124 : 617,178 = 617,178 : x
  2. Step 2: Convert to fraction form
    388,124/617,178 = 617,178/x
  3. Step 3: Cross multiply
    388,124x = 617,178 × 617,178
  4. Step 4: Simplify right side
    388,124x = 380,908,683,684
  5. Step 5: Solve for x
    x = 380,908,683,684/388,124
  6. Step 6: Final answer
    x = 981,409.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.