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Finding the Third Proportional to 287,010 and 625,689

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Solution

The third proportional to 287,010 and 625,689 is: 1,364,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,010 : 625,689 = 625,689 : x
  2. Step 2: Convert to fraction form
    287,010/625,689 = 625,689/x
  3. Step 3: Cross multiply
    287,010x = 625,689 × 625,689
  4. Step 4: Simplify right side
    287,010x = 391,486,724,721
  5. Step 5: Solve for x
    x = 391,486,724,721/287,010
  6. Step 6: Final answer
    x = 1,364,017.72

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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.