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Finding the Third Proportional to 121,984 and 181,440

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Solution

The third proportional to 121,984 and 181,440 is: 269,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,984 : 181,440 = 181,440 : x
  2. Step 2: Convert to fraction form
    121,984/181,440 = 181,440/x
  3. Step 3: Cross multiply
    121,984x = 181,440 × 181,440
  4. Step 4: Simplify right side
    121,984x = 32,920,473,600
  5. Step 5: Solve for x
    x = 32,920,473,600/121,984
  6. Step 6: Final answer
    x = 269,875.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.