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Finding the Third Proportional to 74,752 and 112,440

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Solution

The third proportional to 74,752 and 112,440 is: 169,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,752 : 112,440 = 112,440 : x
  2. Step 2: Convert to fraction form
    74,752/112,440 = 112,440/x
  3. Step 3: Cross multiply
    74,752x = 112,440 × 112,440
  4. Step 4: Simplify right side
    74,752x = 12,642,753,600
  5. Step 5: Solve for x
    x = 12,642,753,600/74,752
  6. Step 6: Final answer
    x = 169,129.30

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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.