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Finding the Third Proportional to 621.63 and 719.93

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Solution

The third proportional to 621.63 and 719.93 is: 833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.63 : 719.93 = 719.93 : x
  2. Step 2: Convert to fraction form
    621.63/719.93 = 719.93/x
  3. Step 3: Cross multiply
    621.63x = 719.93 × 719.93
  4. Step 4: Simplify right side
    621.63x = 518,298.75
  5. Step 5: Solve for x
    x = 518,298.75/621.63
  6. Step 6: Final answer
    x = 833.77

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.