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Finding the Third Proportional to 287,376 and 620,640

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Solution

The third proportional to 287,376 and 620,640 is: 1,340,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,376 : 620,640 = 620,640 : x
  2. Step 2: Convert to fraction form
    287,376/620,640 = 620,640/x
  3. Step 3: Cross multiply
    287,376x = 620,640 × 620,640
  4. Step 4: Simplify right side
    287,376x = 385,194,009,600
  5. Step 5: Solve for x
    x = 385,194,009,600/287,376
  6. Step 6: Final answer
    x = 1,340,383.36

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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.