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Finding the Third Proportional to 210,376 and 287,418

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Solution

The third proportional to 210,376 and 287,418 is: 392,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,376 : 287,418 = 287,418 : x
  2. Step 2: Convert to fraction form
    210,376/287,418 = 287,418/x
  3. Step 3: Cross multiply
    210,376x = 287,418 × 287,418
  4. Step 4: Simplify right side
    210,376x = 82,609,106,724
  5. Step 5: Solve for x
    x = 82,609,106,724/210,376
  6. Step 6: Final answer
    x = 392,673.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.