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Finding the Third Proportional to 137,070 and 210,954

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Solution

The third proportional to 137,070 and 210,954 is: 324,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,070 : 210,954 = 210,954 : x
  2. Step 2: Convert to fraction form
    137,070/210,954 = 210,954/x
  3. Step 3: Cross multiply
    137,070x = 210,954 × 210,954
  4. Step 4: Simplify right side
    137,070x = 44,501,590,116
  5. Step 5: Solve for x
    x = 44,501,590,116/137,070
  6. Step 6: Final answer
    x = 324,663.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.