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Finding the Third Proportional to 288,659 and 621,706

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Solution

The third proportional to 288,659 and 621,706 is: 1,339,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,659 : 621,706 = 621,706 : x
  2. Step 2: Convert to fraction form
    288,659/621,706 = 621,706/x
  3. Step 3: Cross multiply
    288,659x = 621,706 × 621,706
  4. Step 4: Simplify right side
    288,659x = 386,518,350,436
  5. Step 5: Solve for x
    x = 386,518,350,436/288,659
  6. Step 6: Final answer
    x = 1,339,013.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.