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Finding the Third Proportional to 530.40 and 779.37

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Solution

The third proportional to 530.40 and 779.37 is: 1,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.40 : 779.37 = 779.37 : x
  2. Step 2: Convert to fraction form
    530.40/779.37 = 779.37/x
  3. Step 3: Cross multiply
    530.40x = 779.37 × 779.37
  4. Step 4: Simplify right side
    530.40x = 607,414.35
  5. Step 5: Solve for x
    x = 607,414.35/530.40
  6. Step 6: Final answer
    x = 1,145.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.