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Finding the Third Proportional to 621.98 and 929.18

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Solution

The third proportional to 621.98 and 929.18 is: 1,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.98 : 929.18 = 929.18 : x
  2. Step 2: Convert to fraction form
    621.98/929.18 = 929.18/x
  3. Step 3: Cross multiply
    621.98x = 929.18 × 929.18
  4. Step 4: Simplify right side
    621.98x = 863,374.89
  5. Step 5: Solve for x
    x = 863,374.89/621.98
  6. Step 6: Final answer
    x = 1,388.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.