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Finding the Third Proportional to 424,806 and 640,485

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Solution

The third proportional to 424,806 and 640,485 is: 965,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,806 : 640,485 = 640,485 : x
  2. Step 2: Convert to fraction form
    424,806/640,485 = 640,485/x
  3. Step 3: Cross multiply
    424,806x = 640,485 × 640,485
  4. Step 4: Simplify right side
    424,806x = 410,221,035,225
  5. Step 5: Solve for x
    x = 410,221,035,225/424,806
  6. Step 6: Final answer
    x = 965,666.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.