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Finding the Third Proportional to 255,213 and 365,323.50

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Solution

The third proportional to 255,213 and 365,323.50 is: 522,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,213 : 365,323.50 = 365,323.50 : x
  2. Step 2: Convert to fraction form
    255,213/365,323.50 = 365,323.50/x
  3. Step 3: Cross multiply
    255,213x = 365,323.50 × 365,323.50
  4. Step 4: Simplify right side
    255,213x = 133,461,259,652.25
  5. Step 5: Solve for x
    x = 133,461,259,652.25/255,213
  6. Step 6: Final answer
    x = 522,940.68

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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.