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Finding the Third Proportional to 93,752 and 140,480

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Solution

The third proportional to 93,752 and 140,480 is: 210,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,752 : 140,480 = 140,480 : x
  2. Step 2: Convert to fraction form
    93,752/140,480 = 140,480/x
  3. Step 3: Cross multiply
    93,752x = 140,480 × 140,480
  4. Step 4: Simplify right side
    93,752x = 19,734,630,400
  5. Step 5: Solve for x
    x = 19,734,630,400/93,752
  6. Step 6: Final answer
    x = 210,498.23

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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.