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Finding the Third Proportional to 402,643 and 876,137

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Solution

The third proportional to 402,643 and 876,137 is: 1,906,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,643 : 876,137 = 876,137 : x
  2. Step 2: Convert to fraction form
    402,643/876,137 = 876,137/x
  3. Step 3: Cross multiply
    402,643x = 876,137 × 876,137
  4. Step 4: Simplify right side
    402,643x = 767,616,042,769
  5. Step 5: Solve for x
    x = 767,616,042,769/402,643
  6. Step 6: Final answer
    x = 1,906,443.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.