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Finding the Third Proportional to 292,388 and 640,616

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Solution

The third proportional to 292,388 and 640,616 is: 1,403,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,388 : 640,616 = 640,616 : x
  2. Step 2: Convert to fraction form
    292,388/640,616 = 640,616/x
  3. Step 3: Cross multiply
    292,388x = 640,616 × 640,616
  4. Step 4: Simplify right side
    292,388x = 410,388,859,456
  5. Step 5: Solve for x
    x = 410,388,859,456/292,388
  6. Step 6: Final answer
    x = 1,403,576.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.