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Finding the Third Proportional to 255,072 and 385,477.50

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Solution

The third proportional to 255,072 and 385,477.50 is: 582,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,072 : 385,477.50 = 385,477.50 : x
  2. Step 2: Convert to fraction form
    255,072/385,477.50 = 385,477.50/x
  3. Step 3: Cross multiply
    255,072x = 385,477.50 × 385,477.50
  4. Step 4: Simplify right side
    255,072x = 148,592,903,006.25
  5. Step 5: Solve for x
    x = 148,592,903,006.25/255,072
  6. Step 6: Final answer
    x = 582,552.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.