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Finding the Third Proportional to 269,109 and 634,365

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Solution

The third proportional to 269,109 and 634,365 is: 1,495,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,109 : 634,365 = 634,365 : x
  2. Step 2: Convert to fraction form
    269,109/634,365 = 634,365/x
  3. Step 3: Cross multiply
    269,109x = 634,365 × 634,365
  4. Step 4: Simplify right side
    269,109x = 402,418,953,225
  5. Step 5: Solve for x
    x = 402,418,953,225/269,109
  6. Step 6: Final answer
    x = 1,495,375.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.