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Finding the Third Proportional to 318,425.63 and 511,315.88

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Solution

The third proportional to 318,425.63 and 511,315.88 is: 821,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,425.63 : 511,315.88 = 511,315.88 : x
  2. Step 2: Convert to fraction form
    318,425.63/511,315.88 = 511,315.88/x
  3. Step 3: Cross multiply
    318,425.63x = 511,315.88 × 511,315.88
  4. Step 4: Simplify right side
    318,425.63x = 261,443,924,027.02
  5. Step 5: Solve for x
    x = 261,443,924,027.02/318,425.63
  6. Step 6: Final answer
    x = 821,051.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.