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Finding the Third Proportional to 402,120 and 612,616

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Solution

The third proportional to 402,120 and 612,616 is: 933,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,120 : 612,616 = 612,616 : x
  2. Step 2: Convert to fraction form
    402,120/612,616 = 612,616/x
  3. Step 3: Cross multiply
    402,120x = 612,616 × 612,616
  4. Step 4: Simplify right side
    402,120x = 375,298,363,456
  5. Step 5: Solve for x
    x = 375,298,363,456/402,120
  6. Step 6: Final answer
    x = 933,299.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.