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Finding the Third Proportional to 399,628 and 872,479

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Solution

The third proportional to 399,628 and 872,479 is: 1,904,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,628 : 872,479 = 872,479 : x
  2. Step 2: Convert to fraction form
    399,628/872,479 = 872,479/x
  3. Step 3: Cross multiply
    399,628x = 872,479 × 872,479
  4. Step 4: Simplify right side
    399,628x = 761,219,605,441
  5. Step 5: Solve for x
    x = 761,219,605,441/399,628
  6. Step 6: Final answer
    x = 1,904,820.50

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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.