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Finding the Third Proportional to 287,926 and 672,628

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Solution

The third proportional to 287,926 and 672,628 is: 1,571,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,926 : 672,628 = 672,628 : x
  2. Step 2: Convert to fraction form
    287,926/672,628 = 672,628/x
  3. Step 3: Cross multiply
    287,926x = 672,628 × 672,628
  4. Step 4: Simplify right side
    287,926x = 452,428,426,384
  5. Step 5: Solve for x
    x = 452,428,426,384/287,926
  6. Step 6: Final answer
    x = 1,571,335.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.