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Finding the Third Proportional to 510,309 and 1,098,621

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Solution

The third proportional to 510,309 and 1,098,621 is: 2,365,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,309 : 1,098,621 = 1,098,621 : x
  2. Step 2: Convert to fraction form
    510,309/1,098,621 = 1,098,621/x
  3. Step 3: Cross multiply
    510,309x = 1,098,621 × 1,098,621
  4. Step 4: Simplify right side
    510,309x = 1,206,968,101,641
  5. Step 5: Solve for x
    x = 1,206,968,101,641/510,309
  6. Step 6: Final answer
    x = 2,365,171.11

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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.