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Finding the Third Proportional to 205,111 and 310,497

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Solution

The third proportional to 205,111 and 310,497 is: 470,030.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,111 : 310,497 = 310,497 : x
  2. Step 2: Convert to fraction form
    205,111/310,497 = 310,497/x
  3. Step 3: Cross multiply
    205,111x = 310,497 × 310,497
  4. Step 4: Simplify right side
    205,111x = 96,408,387,009
  5. Step 5: Solve for x
    x = 96,408,387,009/205,111
  6. Step 6: Final answer
    x = 470,030.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.