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Finding the Third Proportional to 287,651 and 625,804

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Solution

The third proportional to 287,651 and 625,804 is: 1,361,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,651 : 625,804 = 625,804 : x
  2. Step 2: Convert to fraction form
    287,651/625,804 = 625,804/x
  3. Step 3: Cross multiply
    287,651x = 625,804 × 625,804
  4. Step 4: Simplify right side
    287,651x = 391,630,646,416
  5. Step 5: Solve for x
    x = 391,630,646,416/287,651
  6. Step 6: Final answer
    x = 1,361,478.48

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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.