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Finding the Third Proportional to 145,936 and 209,687

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Solution

The third proportional to 145,936 and 209,687 is: 301,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,936 : 209,687 = 209,687 : x
  2. Step 2: Convert to fraction form
    145,936/209,687 = 209,687/x
  3. Step 3: Cross multiply
    145,936x = 209,687 × 209,687
  4. Step 4: Simplify right side
    145,936x = 43,968,637,969
  5. Step 5: Solve for x
    x = 43,968,637,969/145,936
  6. Step 6: Final answer
    x = 301,287.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.