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Finding the Third Proportional to 402,347 and 876,838

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Solution

The third proportional to 402,347 and 876,838 is: 1,910,899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,347 : 876,838 = 876,838 : x
  2. Step 2: Convert to fraction form
    402,347/876,838 = 876,838/x
  3. Step 3: Cross multiply
    402,347x = 876,838 × 876,838
  4. Step 4: Simplify right side
    402,347x = 768,844,878,244
  5. Step 5: Solve for x
    x = 768,844,878,244/402,347
  6. Step 6: Final answer
    x = 1,910,899.99

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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.