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Finding the Third Proportional to 453.19 and 510.56

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Solution

The third proportional to 453.19 and 510.56 is: 575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.19 : 510.56 = 510.56 : x
  2. Step 2: Convert to fraction form
    453.19/510.56 = 510.56/x
  3. Step 3: Cross multiply
    453.19x = 510.56 × 510.56
  4. Step 4: Simplify right side
    453.19x = 260,674.07
  5. Step 5: Solve for x
    x = 260,674.07/453.19
  6. Step 6: Final answer
    x = 575.20

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.