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Finding the Third Proportional to 291,078 and 626,421

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Solution

The third proportional to 291,078 and 626,421 is: 1,348,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,078 : 626,421 = 626,421 : x
  2. Step 2: Convert to fraction form
    291,078/626,421 = 626,421/x
  3. Step 3: Cross multiply
    291,078x = 626,421 × 626,421
  4. Step 4: Simplify right side
    291,078x = 392,403,269,241
  5. Step 5: Solve for x
    x = 392,403,269,241/291,078
  6. Step 6: Final answer
    x = 1,348,103.50

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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.