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Finding the Third Proportional to 454.13 and 719.53

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Solution

The third proportional to 454.13 and 719.53 is: 1,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.13 : 719.53 = 719.53 : x
  2. Step 2: Convert to fraction form
    454.13/719.53 = 719.53/x
  3. Step 3: Cross multiply
    454.13x = 719.53 × 719.53
  4. Step 4: Simplify right side
    454.13x = 517,725.22
  5. Step 5: Solve for x
    x = 517,725.22/454.13
  6. Step 6: Final answer
    x = 1,140.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.