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Finding the Third Proportional to 385,255 and 511,327.50

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Solution

The third proportional to 385,255 and 511,327.50 is: 678,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,255 : 511,327.50 = 511,327.50 : x
  2. Step 2: Convert to fraction form
    385,255/511,327.50 = 511,327.50/x
  3. Step 3: Cross multiply
    385,255x = 511,327.50 × 511,327.50
  4. Step 4: Simplify right side
    385,255x = 261,455,812,256.25
  5. Step 5: Solve for x
    x = 261,455,812,256.25/385,255
  6. Step 6: Final answer
    x = 678,656.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.