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Finding the Third Proportional to 318,607.50 and 688,839

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Solution

The third proportional to 318,607.50 and 688,839 is: 1,489,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,607.50 : 688,839 = 688,839 : x
  2. Step 2: Convert to fraction form
    318,607.50/688,839 = 688,839/x
  3. Step 3: Cross multiply
    318,607.50x = 688,839 × 688,839
  4. Step 4: Simplify right side
    318,607.50x = 474,499,167,921
  5. Step 5: Solve for x
    x = 474,499,167,921/318,607.50
  6. Step 6: Final answer
    x = 1,489,290.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.