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Finding the Third Proportional to 287,019 and 625,707

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Solution

The third proportional to 287,019 and 625,707 is: 1,364,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,019 : 625,707 = 625,707 : x
  2. Step 2: Convert to fraction form
    287,019/625,707 = 625,707/x
  3. Step 3: Cross multiply
    287,019x = 625,707 × 625,707
  4. Step 4: Simplify right side
    287,019x = 391,509,249,849
  5. Step 5: Solve for x
    x = 391,509,249,849/287,019
  6. Step 6: Final answer
    x = 1,364,053.42

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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.