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Finding the Third Proportional to 178,113 and 255,136.50

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Solution

The third proportional to 178,113 and 255,136.50 is: 365,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,113 : 255,136.50 = 255,136.50 : x
  2. Step 2: Convert to fraction form
    178,113/255,136.50 = 255,136.50/x
  3. Step 3: Cross multiply
    178,113x = 255,136.50 × 255,136.50
  4. Step 4: Simplify right side
    178,113x = 65,094,633,632.25
  5. Step 5: Solve for x
    x = 65,094,633,632.25/178,113
  6. Step 6: Final answer
    x = 365,468.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.