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Finding the Third Proportional to 121,752 and 181,323

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Solution

The third proportional to 121,752 and 181,323 is: 270,040.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,752 : 181,323 = 181,323 : x
  2. Step 2: Convert to fraction form
    121,752/181,323 = 181,323/x
  3. Step 3: Cross multiply
    121,752x = 181,323 × 181,323
  4. Step 4: Simplify right side
    121,752x = 32,878,030,329
  5. Step 5: Solve for x
    x = 32,878,030,329/121,752
  6. Step 6: Final answer
    x = 270,040.99

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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.