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Finding the Third Proportional to 287,028 and 626,517

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Solution

The third proportional to 287,028 and 626,517 is: 1,367,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,028 : 626,517 = 626,517 : x
  2. Step 2: Convert to fraction form
    287,028/626,517 = 626,517/x
  3. Step 3: Cross multiply
    287,028x = 626,517 × 626,517
  4. Step 4: Simplify right side
    287,028x = 392,523,551,289
  5. Step 5: Solve for x
    x = 392,523,551,289/287,028
  6. Step 6: Final answer
    x = 1,367,544.46

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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.