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Finding the Third Proportional to 437.91 and 530.30

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Solution

The third proportional to 437.91 and 530.30 is: 642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.91 : 530.30 = 530.30 : x
  2. Step 2: Convert to fraction form
    437.91/530.30 = 530.30/x
  3. Step 3: Cross multiply
    437.91x = 530.30 × 530.30
  4. Step 4: Simplify right side
    437.91x = 281,214.78
  5. Step 5: Solve for x
    x = 281,214.78/437.91
  6. Step 6: Final answer
    x = 642.18

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.