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Finding the Third Proportional to 424,914.75 and 917,685

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Solution

The third proportional to 424,914.75 and 917,685 is: 1,981,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,914.75 : 917,685 = 917,685 : x
  2. Step 2: Convert to fraction form
    424,914.75/917,685 = 917,685/x
  3. Step 3: Cross multiply
    424,914.75x = 917,685 × 917,685
  4. Step 4: Simplify right side
    424,914.75x = 842,145,759,225
  5. Step 5: Solve for x
    x = 842,145,759,225/424,914.75
  6. Step 6: Final answer
    x = 1,981,916.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.