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Finding the Third Proportional to 290,708 and 623,448

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Solution

The third proportional to 290,708 and 623,448 is: 1,337,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,708 : 623,448 = 623,448 : x
  2. Step 2: Convert to fraction form
    290,708/623,448 = 623,448/x
  3. Step 3: Cross multiply
    290,708x = 623,448 × 623,448
  4. Step 4: Simplify right side
    290,708x = 388,687,408,704
  5. Step 5: Solve for x
    x = 388,687,408,704/290,708
  6. Step 6: Final answer
    x = 1,337,037.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.