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Finding the Third Proportional to 199,810 and 309,365

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Solution

The third proportional to 199,810 and 309,365 is: 478,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,810 : 309,365 = 309,365 : x
  2. Step 2: Convert to fraction form
    199,810/309,365 = 309,365/x
  3. Step 3: Cross multiply
    199,810x = 309,365 × 309,365
  4. Step 4: Simplify right side
    199,810x = 95,706,703,225
  5. Step 5: Solve for x
    x = 95,706,703,225/199,810
  6. Step 6: Final answer
    x = 478,988.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.