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Finding the Third Proportional to 81,210 and 121,430

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Solution

The third proportional to 81,210 and 121,430 is: 181,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,210 : 121,430 = 121,430 : x
  2. Step 2: Convert to fraction form
    81,210/121,430 = 121,430/x
  3. Step 3: Cross multiply
    81,210x = 121,430 × 121,430
  4. Step 4: Simplify right side
    81,210x = 14,745,244,900
  5. Step 5: Solve for x
    x = 14,745,244,900/81,210
  6. Step 6: Final answer
    x = 181,569.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.