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Finding the Third Proportional to 530.06 and 810.94

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Solution

The third proportional to 530.06 and 810.94 is: 1,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.06 : 810.94 = 810.94 : x
  2. Step 2: Convert to fraction form
    530.06/810.94 = 810.94/x
  3. Step 3: Cross multiply
    530.06x = 810.94 × 810.94
  4. Step 4: Simplify right side
    530.06x = 657,619.63
  5. Step 5: Solve for x
    x = 657,619.63/530.06
  6. Step 6: Final answer
    x = 1,240.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.