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Finding the Third Proportional to 876,638 and 1,283,428

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Solution

The third proportional to 876,638 and 1,283,428 is: 1,878,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,638 : 1,283,428 = 1,283,428 : x
  2. Step 2: Convert to fraction form
    876,638/1,283,428 = 1,283,428/x
  3. Step 3: Cross multiply
    876,638x = 1,283,428 × 1,283,428
  4. Step 4: Simplify right side
    876,638x = 1,647,187,431,184
  5. Step 5: Solve for x
    x = 1,647,187,431,184/876,638
  6. Step 6: Final answer
    x = 1,878,982.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.