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Finding the Third Proportional to 287,388 and 623,376

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Solution

The third proportional to 287,388 and 623,376 is: 1,352,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,388 : 623,376 = 623,376 : x
  2. Step 2: Convert to fraction form
    287,388/623,376 = 623,376/x
  3. Step 3: Cross multiply
    287,388x = 623,376 × 623,376
  4. Step 4: Simplify right side
    287,388x = 388,597,637,376
  5. Step 5: Solve for x
    x = 388,597,637,376/287,388
  6. Step 6: Final answer
    x = 1,352,170.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.